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Popular >

simplify (2e^t)^2

Solution

simplify

(2 e^{t})^{2}

Solution

4 e^{2 t}

Solution steps

(2 e^{t})^{2}

Apply exponent rule:

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

= 2^{2} (e^{t})^{2}

(e^{t})^{2} : e^{t \cdot 2}

= 2^{2} e^{t \cdot 2}

2^{2} = 4

= 4 e^{2 t}

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Frequently Asked Questions (FAQ)

What is (2e^t)^2 ?
The solution to (2e^t)^2 is 4e^{2t}