en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1024^{-6/5}

Solution

simplify

102 4^{- \frac{6}{5}}

Solution

\frac{1}{4096}

+1

Decimal Notation

0.00024 \dots

Solution steps

102 4^{- \frac{6}{5}}

Factor the number:

1024 = 4^{5}

= (4^{5})^{- \frac{6}{5}}

Apply exponent rule:

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

= 4^{5 (- \frac{6}{5})}

5 (- \frac{6}{5}) = - 6

= 4^{- 6}

Apply exponent rule:

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

4^{- 6} = \frac{1}{4 ^{6}}

= \frac{1}{4 ^{6}}

4^{6} = 4096

= \frac{1}{4096}

Popular Examples

simplify 8(x+6)simplify

8 (x + 6)

simplify 8(x+3)simplify

8 (x + 3)

expand (4x^2-3y)^3 expand

(4 x^{2} - 3 y)^{3}

factor x^3+2x^2+6x+5 factor

x^{3} + 2 x^{2} + 6 x + 5

simplify (5x^{-2}y^{-3})/(z^{-4)}simplify

\frac{5 x ^{- 2} y ^{- 3}}{z ^{- 4}}

Frequently Asked Questions (FAQ)

What is 1024^{-6/5} ?
The solution to 1024^{-6/5} is 1/4096