Home > Algebra > Exponential Properties Involving Quotients

How do you simplify #(x^3/y^3)^2#?

Answer 1

Eva Adamson

#(x^6)/y^6# would be your most "simple" answer.

When raising a term with an exponent to another power, you multiply the powers together:

#(x^3/y^3)^2 = ((x^3)^2)/((y^3)^2) = x^(3xx2)/y^(3xx2) = x^6/y^6#

I hope that was helpful.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Abigail Allen

To simplify (x^3/y^3)^2, you apply the power of a power rule, which states that (a^m)^n = a^(mn). Therefore, (x^3/y^3)^2 becomes x^(32)/y^(3*2), which simplifies to x^6/y^6.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.