Question

Determine the value of the expression 4^3 × 4^-6 .

A) -12
B)-1/12
C)64
D)1/64

Answer 1

1/64

Explanation:

i got this on usatestprep.

Answer 2

`\bf 4^3-4^(-6)\implies 4^(3-6)\implies 4^(-3)\\\\ -----------------------------\\\\ now\quad recall\implies a^{-{ n}} \implies \cfrac{1}{a^( n)}\qquad \qquad \cfrac{1}{a^( n)}\implies a^{-{ n}}\\\\ -----------------------------\\\\ 4^(-3)\implies \cfrac{1}{4^3}\implies \cfrac{1}{64}`