What is (5^3*2^{-6})^{-2} ?

The solution to (5^3*2^{-6})^{-2} is 4096/15625

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5^3*2^{-6})^{-2}

simplify

(5^{3} \cdot 2^{- 6})^{- 2}

\frac{4096}{15625}

Decimal Notation

0.262144

Solution steps

(5^{3} \cdot 2^{- 6})^{- 2}

Apply exponent rule:

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

(5^{3} \cdot 2^{- 6})^{- 2} = \frac{1}{( 5 ^{3} \cdot 2 ^{- 6} ) ^{2}}

= \frac{1}{( 5 ^{3} \cdot 2 ^{- 6} ) ^{2}}

(5^{3} \cdot 2^{- 6})^{2} = \frac{15625}{4096}

= \frac{1}{\frac{15625}{4096}}

Apply the fraction rule:

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

= \frac{4096}{15625}

1.0 4^{8}

500 \cdot 1 0^{- 3}

\frac{2}{x + 6}

(7 + 5)^{2}

(x + 6)^{5}