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Popular >

simplify 40^{1/3}

Solution

simplify

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

Solution

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

+1

Decimal Notation

3.41995 \dots

Solution steps

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

Prime factorization of

40 : 2^{3} \cdot 5

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

Apply exponent rule:

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

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

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

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

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

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Frequently Asked Questions (FAQ)

What is 40^{1/3} ?
The solution to 40^{1/3} is 2*5^{1/3}