Question

I Need Help With This Math Question badly

Answer 1

Answer:

$3^{\frac{1}{6} }$

Step-by-step explanation:

Using the rules of exponents

$\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$

$(a^m)^{n}$ = $a^{mn}$

Evaluating the parenthesis, gives

$\frac{3^{\frac{3}{4} } }{3^{\frac{3}{8} } }$ = $3^{\frac{3}{4}-\frac{3}{8} }$ = $3^{\frac{3}{8} }$ , then

$(3^{\frac{3}{8})^{\frac{4}{9} } }$ → $\frac{3}{8}$ × $\frac{4}{9}$ = $\frac{1}{6}$

= $3^{\frac{1}{6} }$ with x = $\frac{1}{6}$