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Popular >

simplify (e^4)^x((e^x)^2)

Solution

simplify

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

Solution

e^{6 x}

Solution steps

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

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

= e^{4 x} (e^{x})^{2}

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

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{4 x} e^{x \cdot 2} = e^{4 x + 2 x}

= e^{4 x + x \cdot 2}

Add similar elements:

4 x + 2 x = 6 x

= e^{6 x}

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Frequently Asked Questions (FAQ)

What is (e^4)^x((e^x)^2) ?
The solution to (e^4)^x((e^x)^2) is e^{6x}