en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (1/4)^{-2}

Solution

factor

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

Solution

16

Solution steps

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

Apply exponent rule:

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

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

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

Apply the fraction rule:

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

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

Apply rule

1^{a} = 1

1^{2} = 1

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

Apply the fraction rule:

\frac{a}{1} = a

= 4^{2}

4^{2} = 16

= 16

Popular Examples

factor u^2v-2w^2-2uvw+uw factor

u^{2} v - 2 w^{2} - 2 uv w + u w

factor (3x+y)(x-3y-(x+2y))factor

(3 x + y) (x - 3 y - (x + 2 y))

factor (2+sqrt(32))/2 factor

\frac{2 + 32}{2}

factor 2-5x+4 factor

2 - 5 x + 4

factor x^2ln(y^2-x^2)factor

x^{2} ln (y^{2} - x^{2})

Frequently Asked Questions (FAQ)

What is factor (1/4)^{-2} ?
The solution to factor (1/4)^{-2} is 16