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Popular >

simplify 729^{2/3}

Solution

simplify

72 9^{\frac{2}{3}}

Solution

81

Solution steps

72 9^{\frac{2}{3}}

Factor the number:

729 = 9^{3}

= (9^{3})^{\frac{2}{3}}

Apply exponent rule:

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

= 9^{3 \cdot \frac{2}{3}}

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

= 9^{2}

9^{2} = 81

= 81

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Frequently Asked Questions (FAQ)

What is 729^{2/3} ?
The solution to 729^{2/3} is 81