Question

The expression 16^-3/4 is equivalent to the expression ______.

Answer 1

Answer:

Answer:

1/8

Step-by-step explanation:

16^-3/4=

1/16^3/4=

(1^4/2^4)3/4=(1/2)^3

1^3/2^3=1/8

Answer 2

Answer:

1/8

Step-by-step explanation:

Firstly, you should change the 16 into the simplest base-power form.

16 = 2⁴

16 ^−3/4 = (2⁴)^−3/4

As we remember, the formula of multiplying powers, where

(a^m)^n = a^mn

Therefore,

(2⁴)^ − 3/4 = 2^−12/4 = 2^−3

Here we can apply the Indew law of a^−n = 1/a^n

Hence, 2^−3 = 1/2^3 = 1/8

16^−3/4 = 1/8

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