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Popular >

simplify 216^{2/3}

Solution

simplify

21 6^{\frac{2}{3}}

Solution

36

Solution steps

21 6^{\frac{2}{3}}

Factor the number:

216 = 6^{3}

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

Apply exponent rule:

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

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

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

= 6^{2}

6^{2} = 36

= 36

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Frequently Asked Questions (FAQ)

What is 216^{2/3} ?
The solution to 216^{2/3} is 36