Question

The value of the expression 16-^3/4 is___ 8 1/8 -6 6 1/40 1/64

Answer 1

Answer:

$\frac{1}{8}$

Step-by-step explanation:

Using the rules of exponents

•  $a^{-m}$ ⇔ $\frac{1}{a^{m} }$

• $a^{\frac{m}{n} }$ ⇔ $\sqrt[n]{a^{m} }$

Hence

$16^{-\frac{3}{4} }$ = $\frac{1}{16^{\frac{3}{4} } }$

= $\frac{1}{\sqrt[4]{16^{3} } }$ = $\frac{1}{2^{3} }$ = $\frac{1}{8}$