solving( X to the power of -3/4)squared

Question

(X^-3/4)²

Answer 1

The expression [x^(-3/4)]^2 = {1/x^3/4]^2  = [1/x^6/4] = [1/x^(3/2)] = x^(-3/2)= X^(-1.5)

Answer 2

In this case, since we are finding the power of a power, we multiply the exponents together.

 

Thus, multiply (-3/4) and 2, and set as the exponent.

 

 

(-3/4) * 2 = (-6/4)

Therefore, it becomes x^(-6/4)

 

And that simplifies to:

 

x^(-3/2)

 

There are several ways to write this... but most teachers will accept this in this form.