SOLUTION: how do you divide a cubed root by a cubed root Ie: 2+ 3 cubed divided by 6 cubed?

Question 896005: how do you divide a cubed root by a cubed root
Ie:
2+ 3 cubed divided by 6 cubed?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the formula when dealing with exponents is as follows:

(a*b)^x = a^x * b^x

(a/b)^x = a^x / b^x

assume a = 4 and b = 2

a^3 * b^3 is equal to (a*b)^3

you get:

4^3 * 2^3 = 64 * 8 = 512

by the formula, however, you get:

4^3 * 2^3 = (4*2)^3 = 8^3 = 512

the answer is the same as it should be because the formula is one of the properties of exponent arithmetic.

not let's look at 4^3 / 2^3.

this follows the form of a^x / b^x = (a/b)^x

we know that 4^3 / 2^3 is equal to 64 / 8 which is equal to 8.

we can use the formula as well to get:

4^3 / 2^3 is equal to (4/2)^3 is equal to 2^3 is equal to 8.

you get the same answer both ways as you should because the properties of exponent arithmetic tell you that you will.

so the rule is:

a^x * b^x = (a*b)^x

a^x / b^x = (a/b)^x

RELATED QUESTIONS
Cubed root of 4 divided by cubed root of... (answered by lwsshak3)

how do you find the product: (7 CUBED ROOT 6)(3 CUBED ROOT... (answered by Alan3354)

how do you divide a x cubed by x... (answered by rfer)

what is cubed root of 10 divided by the cubed root of... (answered by rfer)

Simplify cubed root of 81 divided by the cubed root of... (answered by Alan3354)

how do you solve the cubed root of 27 divided by... (answered by jim_thompson5910,Alan3354)

how do you find the cubed root of a number (answered by swincher4391)

What is 9 divided by the cubed root of... (answered by Aswathy)

1-5 multiplied by 2/3 then there is a cubed root with -1/8-6 inside of the root. How do I (answered by stanbon)