 # How Do You Solve Powers?

## How do you find the power of a number without a calculator?

So, for example, this is how you would solve 6^3 without a calculator, from start to finish.

Write: 6 6 6, because the base number is 6 and the exponent is 3.

Then write: 6 x 6 x 6, to place multiplication signs between each of the base numbers.

After that, multiply out the first multiplication sign, or 6 x 6 = 36..

## Do you add first or multiply first?

Order of operations tells you to perform multiplication and division first, working from left to right, before doing addition and subtraction. Continue to perform multiplication and division from left to right. Next, add and subtract from left to right.

## What is 2 by the power of 6?

Raising a numbers to the power which is a positive whole number2.2 can be written 22″Two squared” or “2 to the 2nd power”2.2.2.2 = 24″Two to the 4th power” or simply “2 to the 4th””2.2.2.2.2 = 25″Two to the 5th power” or simply “2 to the 5th””2.2.2.2.2.2 = 26″Two to the 6th power” or simply “2 to the 6th””1 more row

## How do you divide powers?

To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.

## How do you solve big powers?

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 rule of exponents to solve the problem.

## How do you calculate the power of a power?

This is an example of the product of powers property tells us that when you multiply powers with the same base you just have to add the exponents. This is called the power of a power property and says that to find a power of a power you just have to multiply the exponents.