Question

simplify (3^-2)^4 A 1/3^2B 3^2C 1/3^8D 3^8

Answer 1

Ok, so

We're going to simplify the following expression:

$(3^{-2})^4$

Remember that if we have two exponents elevating each other in the same base, they multiply.

So, this is equivalent to write:

$(3^{-2})^4=(3)^{-8}$

Now, we can rewrite the last expression in this new one:

$(3^{-2})^4=(3)^{-8}=\frac{1}{3^8}$