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Popular >

simplify ((e^t)^2)^4

Solution

simplify

((e^{t})^{2})^{4}

Solution

e^{8 t}

Solution steps

((e^{t})^{2})^{4}

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

= (e^{t \cdot 2})^{4}

Apply exponent rule:

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

= e^{t \cdot 2 \cdot 4}

Multiply the numbers:

2 \cdot 4 = 8

= e^{8 t}

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Frequently Asked Questions (FAQ)

What is ((e^t)^2)^4 ?
The solution to ((e^t)^2)^4 is e^{8t}