en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (10^{-180})^{5/2}

Solution

simplify

(1 0^{- 180})^{\frac{5}{2}}

Solution

\frac{1}{1 0 ^{450}}

Solution steps

(1 0^{- 180})^{\frac{5}{2}}

Apply exponent rule:

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

= 1 0^{- 180 \cdot \frac{5}{2}}

- 180 \cdot \frac{5}{2} = - 450

= 1 0^{- 450}

Apply exponent rule:

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

1 0^{- 450} = \frac{1}{1 0 ^{450}}

= \frac{1}{1 0 ^{450}}

Popular Examples

simplify 0.5*e^{-1*0.5*5}simplify

0.5 \cdot e^{- 1 \cdot 0.5 \cdot 5}

simplify-2.18*10^{-18}(1/1-1/9)simplify

- 2.18 \cdot 1 0^{- 18} (\frac{1}{1} - \frac{1}{9})

simplify 0.089*10^{-6}(2.5)/(1.9635E-7)simplify

0.089 \cdot 1 0^{- 6} \frac{2.5}{1.9635 E - 7}

simplify-8e^{-1}simplify

- 8 e^{- 1}

simplify 7.6x10^{-2}simplify

7.6 x 1 0^{- 2}

Frequently Asked Questions (FAQ)

What is (10^{-180})^{5/2} ?
The solution to (10^{-180})^{5/2} is 1/(10^{450)}