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Popular >

simplify (729)^{2/3}

Solution

simplify

(729)^{\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

Popular Examples

400 - 16 t^{2} = 0

- \frac{4}{3} a = 18

3xlog_{10}(2)+xlog_{10}(5)=5log_{10}(5)-log_{10}(2)

3 x lo g_{10} (2) + x lo g_{10} (5) = 5 lo g_{10} (5) - lo g_{10} (2)

- \frac{1}{2} (1)^{2}

simplify pi/(pi/4)simplify

\frac{π}{\frac{π}{4}}

Frequently Asked Questions (FAQ)

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