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Popular >

simplify 9^{1/3}*3^{1/3}

Solution

simplify

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

Solution

3

Solution steps

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

Apply exponent rule:

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

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

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

Multiply the numbers:

9 \cdot 3 = 27

= 2 7^{\frac{1}{3}}

Factor the number:

27 = 3^{3}

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

Apply exponent rule:

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

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

= 3

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Frequently Asked Questions (FAQ)

What is 9^{1/3}*3^{1/3} ?
The solution to 9^{1/3}*3^{1/3} is 3