Question

what is 16 raise to 3/4

Answer 1

HEYA ❤️

(16)¾

FIRST MAKE THE PRIME FACTORS OF 16

=( 2×2×2×2)¾

NOW ,

=(2⁴)¾

= 2⁴×¾

BOTH 4'S ARE CANCELLED OUT.

THEREFORE, 2³= 8 ( REQUIRED ANSWER)

HOPE IT HELPS ❤️❤️

Answer 2

Answer:

Step-by-step explanation:

Explanation:

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

16=2^4

16^(-3/4) = (2^4)^(-3/4)

As we remember, the formula of multiplying powers, where

(a^m)^n = a^(mn)

Therefore,

(2^4)^(-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

=8(by reversing it)

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