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Popular >

simplify 10^{1/3}*100^{1/3}

Solution

simplify

1 0^{\frac{1}{3}} \cdot 10 0^{\frac{1}{3}}

Solution

10

Solution steps

1 0^{\frac{1}{3}} \cdot 10 0^{\frac{1}{3}}

Apply exponent rule:

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

1 0^{\frac{1}{3}} \cdot 10 0^{\frac{1}{3}} = (10 \cdot 100)^{\frac{1}{3}}

= (10 \cdot 100)^{\frac{1}{3}}

Multiply the numbers:

10 \cdot 100 = 1000

= 100 0^{\frac{1}{3}}

Factor the number:

1000 = 1 0^{3}

= (1 0^{3})^{\frac{1}{3}}

Apply exponent rule:

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

(1 0^{3})^{\frac{1}{3}} = 1 0^{3 \cdot \frac{1}{3}} = 10

= 10

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Frequently Asked Questions (FAQ)

What is 10^{1/3}*100^{1/3} ?
The solution to 10^{1/3}*100^{1/3} is 10