en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4^7)^{-2}

Solution

simplify

(4^{7})^{- 2}

Solution

\frac{1}{268435456}

+1

Decimal Notation

3.72529 E - 9

Solution steps

(4^{7})^{- 2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 4^{7 (- 2)}

7 (- 2) = - 14

= 4^{- 14}

Apply exponent rule:

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

4^{- 14} = \frac{1}{4 ^{14}}

= \frac{1}{4 ^{14}}

4^{14} = 268435456

= \frac{1}{268435456}

Popular Examples

simplify sqrt(-9)+3sqrt(-4)simplify

- 9 + 3 - 4

factor 125x^3+64y^3 factor

125 x^{3} + 64 y^{3}

simplify (x+2)-(x-2)simplify

(x + 2) - (x - 2)

expand (6x+6)^2 expand

(6 x + 6)^{2}

simplify sqrt(8+2\sqrt{12)}simplify

8 + 212

Frequently Asked Questions (FAQ)

What is (4^7)^{-2} ?
The solution to (4^7)^{-2} is 1/268435456