en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5*(1/2)^{-2}

Solution

simplify

5 \cdot (\frac{1}{2})^{- 2}

Solution

20

Solution steps

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

Apply exponent rule:

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

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

= 5 \cdot \frac{1}{( \frac{1}{2} ) ^{2}}

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

= 5 \cdot \frac{1}{\frac{1}{4}}

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

= 5 \cdot 4

Multiply the numbers:

5 \cdot 4 = 20

= 20

Popular Examples

factor x^3-5x^2+x-5 factor

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

simplify \sqrt[3]{x^7}simplify

simplify (3sqrt(2)-2sqrt(3))(6sqrt(2)+4sqrt(3))simplify

(32 - 23) (62 + 43)

6 x^{2} + x - 5 = 0

16 x^{2} - 22 x + 5 = 2 x

Frequently Asked Questions (FAQ)

What is 5*(1/2)^{-2} ?
The solution to 5*(1/2)^{-2} is 20