What is the value of

Question

asked Dec 9, 2020 191k views

2 Answers

John Eikenberry · Answer 1 · 2020-12-15T06:46:35+0000

For this case we have that by definition of power properties:

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

We have the following expression:

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

We can rewrite it as:

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

Applying double c we have:

$\frac {4 ^ 4} {3 ^ 4} = \frac {256} {81}$

Answer:

Option D