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Popular >

simplify (5e^{7x})^4

Solution

simplify

(5 e^{7 x})^{4}

Solution

625 e^{28 x}

Solution steps

(5 e^{7 x})^{4}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 5^{4} (e^{7 x})^{4}

(e^{7 x})^{4} : e^{28 x}

= 5^{4} e^{28 x}

5^{4} = 625

= 625 e^{28 x}

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Frequently Asked Questions (FAQ)

What is (5e^{7x})^4 ?
The solution to (5e^{7x})^4 is 625e^{28x}