## Solving Negative Exponents - Free Math Help

The exponent of a number says how many times to use the number in a multiplication. In this example: 8 2 = 8 × 8 = In words: 8 2 could be called "8 to the second power", "8 to the power 2" or simply "8 squared" Another example: 5 3 = 5 × 5 × 5 = Fractional Exponents. When it comes to solving mathematical problems, the best way to learn is to study solved examples first and then attempt solving similar examples on your own, in gradually increasing level of complexity. In the following lines, I solve a series of fractional exponent problems to illustrate how it's kehutanandsa.ga: Omkar Phatak. How to solve equations with variables in the exponent, power point plus practice problems explained step by step.

## How to Solve Large Exponents | Sciencing

Exponents are used when a number is multiplied by itself. This is explained in the "Solving Basic Exponents" method below. To solve basic exponents, multiply the base number repeatedly for the number of factors represented by the exponent. If you need to add or subtract exponents, the numbers must have the same base and exponent.

You can also multiply numbers with the same base by adding the exponents together and divide two numbers with the same base by subtracting the exponents! For tips on solving fractional exponents, read how to solve exponent problems To create this article, 42 people, some anonymous, worked to edit and improve it over time. Together, they cited 6 references. This article has also been viewedtimes.

Categories: Exponents and Logarithms, how to solve exponent problems. Learn more Method 1. Learn the correct words and vocabulary for exponent problems. The bottom number, here a 2, is the base.

The number it is raised to, here a 3, how to solve exponent problems, is known as the exponent or power. Multiply the base repeatedly for the number of factors how to solve exponent problems by the exponent.

If you need to solve an exponent by hand, start by how to solve exponent problems it as a multiplication problem. You want to multiply the base by itself for the number of the exponent. Solve an expression: Multiply the first two numbers to get the product. Start by multiplying the first two fours.

Multiply that answer to your first pair 16 here by the next number. Keep multiplying in the numbers to "grow" your exponent. Simply keep multiplying the first two numbers, then multiply the answer by the next number in the sequence. This works for any exponent. Try your hand with a few more examples, checking your answers with a calculator. The button is usually clearly labeled.

The Windows Seven calculator tool can be changed to scientific calculator mode by clicking the "View" tab of the calculator and selecting "Scientific". When you want the standard calculator mode back, use "View" and select "Standard". Google the expression to check your answer.

Method 2. Add or subtract exponents only if they have the same base and exponent. Just add the number of similar terms with the identical base and exponent together and multiply the sum by that exponential expression. Multiply numbers with the same base by adding how to solve exponent problems exponents together. If you have an number raised to a power, and the whole thing is then raised to a power, simply multiply the two exponents.

Again, think of what these symbols actually mean if you get confused. Treat negative exponents like fractions, or the number's reciprocal. If you don't know what reciprocals are, it is okay. Divide two numbers with the same base by subtracting the exponents. Division is the opposite of multiplication, and while they aren't always solved exactly opposite, they are here. Negative exponents create fractions. Try out some practice problems to get use to manipulating exponential numbers.

The following problems cover everything currently shown. To see the answer, simply highlight the entire line the problem is on. Method 3. Roots are the inverse of exponents. Turn the top number into a normal exponent for mixed fractions. Simply turn the base into a root, like a normal fraction, then raise the whole thing to the power on the top of the fraction. If you're struggling to remember this, how to solve exponent problems, think through the theory.

Add, subtract, and multiply fractional exponents just like normal. It is much easier to try and add and subtract your exponents before solving them or turning them into roots. If the base is the same and the exponent identical, you can add and subtract like normal. If the base is the same, you can multiply and divide the exponents like normal as well, as long as your remember how to add and subtract fractions. The 3 is a root sign meaning you find the cube root. In this case you would square 3 -- which is 9 -- and then you find the cube root of 9.

If you wanted to, you could reverse the order of those two operations by first finding the cube root of 3 and then squaring that number. In either case the answer would be the same. Yes No. Not Helpful 0 Helpful Four to the power of 2 is 16, since 4 times 4 is Not Helpful 5 Helpful Half exponents are square roots Why?

Not Helpful 8 Helpful Not Helpful 4 Helpful 8. Can you help me solve this problem? X power 0. Not Helpful 5 Helpful 8. Not Helpful 2 Helpful 5, how to solve exponent problems. It's dealing with earthquakes. Five is 10 times greater than 4 on the Richter scale.

Simple x. But how do I solve when it's 5. The Richter scale is a log 10 scale. This means that when you calculate ratios, you calculate them using your numbers in the exponents, and 10 is in the base. Not Helpful 5 Helpful 7. Not Helpful 9 Helpful LyKaxandra Caimoy. Negative exponents indicate reciprocals. Not Helpful 9 Helpful 6. One of the easiest ways to do this is to make sure you're working with one type of unit.

You need to convert all the units and cancel out the units where applicable. For example, if you are given minutes for one part of the equation and hours for another, you should convert one of those into the other 1 hour equals 60 mins.

That is, any real number to the power of 1, to the first power, is that number itself, i. Base zero to the zero exponent, that is 0 0 is not defined sometimes called dnedoes not exist. Computers or pocket calculators should return an error. The proof can be found in most books of higher mathematics. Warnings Increasing the exponents causes a product magnitude to rise very quickly, so that even if the answer may seem how to solve exponent problems, it may actually be right, how to solve exponent problems.

You can check that by graphing any exponential function e. Edit Related wikiHows. Article Summary X To solve basic exponents, multiply the base number repeatedly for the number of factors represented by the exponent. Did this summary help you?

### How to Solve Algebraic Problems With Exponents: 8 Steps As with most problems in basic algebra, solving large exponents requires factoring. If you factor the exponent down until all the factors are prime numbers – a process called prime factorization – you can then apply the power or product rule of exponents to solve the problem. The exponent of a number says how many times to use the number in a multiplication. In this example: 8 2 = 8 × 8 = In words: 8 2 could be called "8 to the second power", "8 to the power 2" or simply "8 squared" Another example: 5 3 = 5 × 5 × 5 = Fractional Exponents. How to solve equations with variables in the exponent, power point plus practice problems explained step by step.