simplify (27/64)^{(-2)/3} — step-by-step solution

⚠ (27/64)^{(-2)/3} is read as (27/64)^((-2)/3)

Let's simplify:

{(\frac{27}{64})}^{- \frac{2}{3}}

\frac{1}{{(\frac{27}{64})}^{\frac{2}{3}}}

\frac{1}{\frac{27^{\frac{2}{3}}}{64^{\frac{2}{3}}}}

ℹ

27^{\frac{2}{3}}

3^{2}

‖

64^{\frac{2}{3}}

4^{2}

\frac{1}{\frac{3^{2}}{4^{2}}}

ℹ

3^{2}

9

‖

4^{2}

16

\frac{1}{\frac{9}{16}}

▶Simplified form:

\frac{16}{9}

The numeric value of:

\frac{16}{9}

equals:

▷

\approx 1.7778