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Popular >

simplify (\sqrt[4]{7^3})^{3/4}

Solution

simplify

Solution

7^{\frac{9}{16}}

+1

Decimal Notation

2.98791 \dots

Solution steps

Apply radical rule:

= (7^{\frac{3}{4}})^{\frac{3}{4}}

Apply exponent rule:

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

= 7^{\frac{3}{4} \cdot \frac{3}{4}}

\frac{3}{4} \cdot \frac{3}{4} = \frac{9}{16}

= 7^{\frac{9}{16}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[4]{7^3})^{3/4} ?
The solution to (\sqrt[4]{7^3})^{3/4} is 7^{9/16}