en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (27/64)^{-2/3}

Solution

simplify

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

Solution

\frac{16}{9}

+1

Decimal Notation

1.77777 \dots

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

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

(\frac{27}{64})^{\frac{2}{3}} = \frac{9}{16}

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{16}{9}

Popular Examples

simplify 8*3/4 simplify

8 \cdot \frac{3}{4}

factor 8y^2+26y+15 factor

8 y^{2} + 26 y + 15

x^{2} + 14 x + 34 = 5

simplify 1/3 p^{-2}q^3r simplify

\frac{1}{3} p^{- 2} q^{3} r

factor t^3-25t factor

t^{3} - 25 t

Frequently Asked Questions (FAQ)

What is (27/64)^{-2/3} ?
The solution to (27/64)^{-2/3} is 16/9