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Popular >

simplify 243^{1/6}*3^{1/6}

Solution

simplify

24 3^{\frac{1}{6}} \cdot 3^{\frac{1}{6}}

Solution

3

Solution steps

24 3^{\frac{1}{6}} \cdot 3^{\frac{1}{6}}

Apply exponent rule:

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

24 3^{\frac{1}{6}} \cdot 3^{\frac{1}{6}} = (243 \cdot 3)^{\frac{1}{6}}

= (243 \cdot 3)^{\frac{1}{6}}

Multiply the numbers:

243 \cdot 3 = 729

= 72 9^{\frac{1}{6}}

Factor the number:

729 = 3^{6}

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

Apply exponent rule:

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

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

= 3

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Frequently Asked Questions (FAQ)

What is 243^{1/6}*3^{1/6} ?
The solution to 243^{1/6}*3^{1/6} is 3