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Popular >

simplify (3^{(7x)/(20)})^{10}

Solution

simplify

(3^{\frac{7 x}{20}})^{10}

Solution

3^{\frac{7 x}{2}}

Solution steps

(3^{\frac{7 x}{20}})^{10}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 3^{\frac{7 x}{20} \cdot 10}

Simplify

\frac{7 x}{20} \cdot 10 : \frac{7 x}{2}

= 3^{\frac{7 x}{2}}

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Frequently Asked Questions (FAQ)

What is (3^{(7x)/(20)})^{10} ?
The solution to (3^{(7x)/(20)})^{10} is 3^{(7x)/2}