en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4^2)/(4^6)

Solution

simplify

\frac{4 ^{2}}{4 ^{6}}

Solution

\frac{1}{256}

+1

Solution steps

\frac{4 ^{2}}{4 ^{6}}

Apply exponent rule:

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

= 4^{2 - 6}

Subtract the numbers:

2 - 6 = - 4

= 4^{- 4}

Apply exponent rule:

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

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

4^{4} = 256

= \frac{1}{256}

Popular Examples

simplify-4x^2-3x-3+(-4)x^2-9x simplify

- 4 x^{2} - 3 x - 3 + (- 4) x^{2} - 9 x

simplify |-2-5|simplify

∣ - 2 - 5 ∣

simplify (4c^5)/(4(c)^3)simplify

\frac{4 c ^{5}}{4 ( c ) ^{3}}

simplify (4+sqrt(5))/(2+sqrt(5))simplify

\frac{4 + 5}{2 + 5}

- 20 \div 10

Frequently Asked Questions (FAQ)

What is (4^2)/(4^6) ?
The solution to (4^2)/(4^6) is 1/256