en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^7(1/(e^4))^7

Solution

simplify

e^{7} (\frac{1}{e ^{4}})^{7}

Solution

\frac{1}{e ^{21}}

+1

Solution steps

e^{7} (\frac{1}{e ^{4}})^{7}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

e^{7} (\frac{1}{e ^{4}})^{7} = (e \frac{1}{e ^{4}})^{7}

= (e \frac{1}{e ^{4}})^{7}

e \frac{1}{e ^{4}} = \frac{1}{e ^{3}}

= (\frac{1}{e ^{3}})^{7}

Apply exponent rule:

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

= \frac{1 ^{7}}{( e ^{3} ) ^{7}}

(e^{3})^{7} : e^{21}

= \frac{1 ^{7}}{e ^{21}}

Apply rule

1^{a} = 1

1^{7} = 1

= \frac{1}{e ^{21}}

Popular Examples

simplify (3.3)(10^{-5})simplify

(3.3) (1 0^{- 5})

simplify 2.28*10^{-3}simplify

2.28 \cdot 1 0^{- 3}

simplify (x^{e^y})^{-1}simplify

(x^{e^{y}})^{- 1}

simplify 0.2(3.14^{-1})simplify

0.2 (3.1 4^{- 1})

simplify 27x\sqrt[3]{3^2}simplify

Frequently Asked Questions (FAQ)

What is e^7(1/(e^4))^7 ?
The solution to e^7(1/(e^4))^7 is 1/(e^{21)}