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Popular >

simplify 6^{1/3}*36^{1/3}

Solution

simplify

6^{\frac{1}{3}} \cdot 3 6^{\frac{1}{3}}

Solution

6

Solution steps

6^{\frac{1}{3}} \cdot 3 6^{\frac{1}{3}}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

6^{\frac{1}{3}} \cdot 3 6^{\frac{1}{3}} = (6 \cdot 36)^{\frac{1}{3}}

= (6 \cdot 36)^{\frac{1}{3}}

Multiply the numbers:

6 \cdot 36 = 216

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

Factor the number:

216 = 6^{3}

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

Apply exponent rule:

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

(6^{3})^{\frac{1}{3}} = 6^{3 \cdot \frac{1}{3}} = 6

= 6

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Frequently Asked Questions (FAQ)

What is 6^{1/3}*36^{1/3} ?
The solution to 6^{1/3}*36^{1/3} is 6