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Popular >

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

Solution

simplify

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

Solution

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

+1

Decimal Notation

7.58256 E - 10

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}}

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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)}