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Popular >

simplify \sqrt[4]{(3/2)}^8

Solution

simplify

Solution

\frac{9}{4}

+1

Solution steps

Apply rule:

(a) = a

(\frac{3}{2}) = \frac{3}{2}

Rewrite

8

as

4 \cdot 2

Apply exponent rule:

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

Apply exponent rule:

= (\frac{3}{2})^{2}

Apply exponent rule:

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

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

3^{2} = 9

= \frac{9}{2 ^{2}}

2^{2} = 4

= \frac{9}{4}

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{(3/2)}^8 ?
The solution to \sqrt[4]{(3/2)}^8 is 9/4