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Popular >

simplify e^{(7(5ln(x^5)))/5}

Solution

simplify

e^{\frac{7 ( 5 l n ( x ^{5} ) )}{5}}

Solution

x^{35}

Solution steps

e^{\frac{7 ( 5 l n ( x ^{5} ) )}{5}}

Remove parentheses:

(a) = a

= e^{\frac{7 \cdot 5 l n ( x ^{5} )}{5}}

\frac{7 \cdot 5 ln ( x ^{5} )}{5} = 35 ln (x)

= e^{35 l n (x)}

Apply exponent rule:

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

= (e^{l n (x)})^{35}

Apply log rule:

a^{l o g_{a} (b)} = b

e^{l n (x)} = x

= x^{35}

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Frequently Asked Questions (FAQ)

What is e^{(7(5ln(x^5)))/5} ?
The solution to e^{(7(5ln(x^5)))/5} is x^{35}