Question

How do I do this? Please explain

Answer 1

Answer:

$\frac{1}{16}$

Step-by-step explanation:

With a negative fractional exponent place a 1 over the positive value

$\frac{1}{ {8}^{ \frac{4}{3} } }$

rewrite 8 as

$( {2}^{3} ) ^{ \frac{4}{3} }$

apply the power rule and multiply the exponents.

cancel the common factor of 3

rewrite the expression

$\frac{1}{ {2}^{4} }$

raise 2 to the power of 4 which =16

so the answer is

$\frac{1}{16}$