how would (x/y^3)^5 be solved?

Question

i know its manipulating powers and i have various rules but none of them fit to it?

Answer 1

(x / y^3)^5 = x^5 / (y^3)^5 = x^5 / y^15 = (x / y^3)^5

Answer 2

first you do y to the third power.
then, you divide x by y.
Finally, you multiply the result by itself 5 times.

What also works is using the distributive property:
x to the power of 5 divided by y to the power of 8 (because you add the powers: 3+5)
so that would look like:
x^5/y^8

YOU DO NOT MULTIPLY THE EXPONENTS, like the person below told you to do.
for example:
2^2 x 2^4
Pretend you don't know what the number two is, and you multiply the exponents.
That would be 4^8.
However, when you do it the old fashioned way, exponents first,
you realize the answer is really 4 x 16 = 64
4x4x4x4x4x4x4x4 (aka 4^8) =
128 x 4 x 4 x 4 x 4... way over the real answer.

See?
Don't multiply the exponents. Ever. Add the exponents :]


I think that's about right.

Anaface<3

Answer 3

I agree with Ana : x^5/y^8

Answer 4

it cannot be solved as it is not an equation.however you can simplify it as x^5/y^8 using the law of exponents

Answer 5

distributive property