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Popular >

simplify 3(8)^{1/3}

Solution

simplify

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

Solution

6

Solution steps

3 \cdot 8^{\frac{1}{3}}

Factor the number:

8 = 2^{3}

= 3 (2^{3})^{\frac{1}{3}}

Apply exponent rule:

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

(2^{3})^{\frac{1}{3}} = 2^{3 \cdot \frac{1}{3}}

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

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

= 3 \cdot 2^{1}

Apply exponent rule:

a^{1} = a

2^{1} = 2

= 3 \cdot 2

Multiply the numbers:

3 \cdot 2 = 6

= 6

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Frequently Asked Questions (FAQ)

What is 3(8)^{1/3} ?
The solution to 3(8)^{1/3} is 6