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Popular >

simplify (40*3)^{1/3}

Solution

simplify

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

Solution

2 \cdot 1 5^{\frac{1}{3}}

+1

Solution steps

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

Apply exponent rule:

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

(40 \cdot 3)^{\frac{1}{3}} = 4 0^{\frac{1}{3}} \cdot 3^{\frac{1}{3}}

= 4 0^{\frac{1}{3}} \cdot 3^{\frac{1}{3}}

4 0^{\frac{1}{3}} = 2 \cdot 5^{\frac{1}{3}}

= 2 \cdot 5^{\frac{1}{3}} \cdot 3^{\frac{1}{3}}

Apply exponent rule:

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

5^{\frac{1}{3}} \cdot 3^{\frac{1}{3}} = (5 \cdot 3)^{\frac{1}{3}}

= 2 (5 \cdot 3)^{\frac{1}{3}}

Multiply the numbers:

5 \cdot 3 = 15

= 2 \cdot 1 5^{\frac{1}{3}}

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Frequently Asked Questions (FAQ)

What is (40*3)^{1/3} ?
The solution to (40*3)^{1/3} is 2*15^{1/3}