Question

What is the value of (2/3)^-4

A. -81/16

B. -16/81

C. 16/81

D. 81/16

Answer 1

Answer: Its D

Explanation:

Answer 2

For this case, we must find the value of the following expression:

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

By properties of powers we have that:

`a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}`

Thus, we can rewrite the expression as:

`\frac {1} {(\frac {2} {3}) ^ 4} =\\\frac {3 ^ 4} {2 ^ 4} =\\\frac {81} {16}`

So, we have to:

`(\frac {2} {3}) ^ {- 4} = \frac {81} {16}`

Answer:

`\frac {81} {16}`

Option D