Answer:
[tex] \frac{1}{16} [/tex]
Step-by-step explanation:
With a negative fractional exponent place a 1 over the positive value
[tex] \frac{1}{ {8}^{ \frac{4}{3} } } [/tex]
rewrite 8 as
[tex]( {2}^{3} ) ^{ \frac{4}{3} } [/tex]
apply the power rule and multiply the exponents.
cancel the common factor of 3
rewrite the expression
[tex] \frac{1}{ {2}^{4} } [/tex]
raise 2 to the power of 4 which =16
so the answer is
[tex] \frac{1}{16} [/tex]
