en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((4^{-2})^{-1})/(4^{-1)}

Solution

simplify

\frac{( 4 ^{- 2} ) ^{- 1}}{4 ^{- 1}}

Solution

64

Solution steps

\frac{( 4 ^{- 2} ) ^{- 1}}{4 ^{- 1}}

(4^{- 2})^{- 1} = 16

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

Factor the number:

16 = 4^{2}

= \frac{4 ^{2}}{4 ^{- 1}}

Apply exponent rule:

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

= 4^{2 - (- 1)}

2 - (- 1) = 3

= 4^{3}

4^{3} = 64

= 64

Popular Examples

simplify (12)/(sqrt(7)+\sqrt{3)}simplify

\frac{12}{7 + 3}

simplify 3/(\sqrt[4]{3)}simplify

simplify |15-23|simplify

∣ 15 - 23 ∣

simplify x^5x^{-2}simplify

x^{5} x^{- 2}

\frac{7}{13}

Frequently Asked Questions (FAQ)

What is ((4^{-2})^{-1})/(4^{-1)} ?
The solution to ((4^{-2})^{-1})/(4^{-1)} is 64