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Popular >

simplify (6^{2/3})^{3/4}

Solution

simplify

(6^{\frac{2}{3}})^{\frac{3}{4}}

Solution

6^{\frac{1}{2}}

+1

Decimal Notation

2.44948 \dots

Solution steps

(6^{\frac{2}{3}})^{\frac{3}{4}}

Apply exponent rule:

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

= 6^{\frac{2}{3} \cdot \frac{3}{4}}

\frac{2}{3} \cdot \frac{3}{4} = \frac{1}{2}

= 6^{\frac{1}{2}}

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Frequently Asked Questions (FAQ)

What is (6^{2/3})^{3/4} ?
The solution to (6^{2/3})^{3/4} is 6^{1/2}