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Popular >

simplify (216r^9)^{1/3}

Solution

simplify

(216 r^{9})^{\frac{1}{3}}

Solution

6 r^{3}

Solution steps

(216 r^{9})^{\frac{1}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(216 r^{9})^{\frac{1}{3}} = 21 6^{\frac{1}{3}} (r^{9})^{\frac{1}{3}}

= 21 6^{\frac{1}{3}} (r^{9})^{\frac{1}{3}}

21 6^{\frac{1}{3}} = 6

= 6 (r^{9})^{\frac{1}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(r^{9})^{\frac{1}{3}} = r^{9 \cdot \frac{1}{3}}

= 6 r^{9 \cdot \frac{1}{3}}

9 \cdot \frac{1}{3} = 3

= 6 r^{3}

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Frequently Asked Questions (FAQ)

What is (216r^9)^{1/3} ?
The solution to (216r^9)^{1/3} is 6r^3