Question

What is the value of

Answer 1

$\left( \dfrac 2 3 \right)^{-4} = \left( \dfrac 3 2 \right)^4 = \dfrac{3^4}{2^4} = \dfrac{81}{16}$

Second choice

Answer 2

For this case we have the following expression:

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

By properties of powers we can rewrite the given expression.

We have then:

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

Then, rewriting the denominator of the fraction we have:

$\frac{1}{\frac{16}{81}}$

Finally rewriting the fraction we have:

$\frac{81}{16}$

Answer:

The equivalent expression is given by:

$\frac{81}{16}$

option 1