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Popular >

simplify (e^{ln(x)})^4

Solution

simplify

(e^{l n (x)})^{4}

Solution

x^{4}

Solution steps

(e^{l n (x)})^{4}

Apply exponent rule:

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

= e^{l n (x) \cdot 4}

Apply exponent rule:

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

= (e^{l n (x)})^{4}

Apply log rule:

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

e^{l n (x)} = x

= x^{4}

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5.82 \cdot 1 0^{- 3}

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64 \cdot e^{- 0.231 \cdot 45}

Frequently Asked Questions (FAQ)

What is (e^{ln(x)})^4 ?
The solution to (e^{ln(x)})^4 is x^4