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Popular >

simplify 1000^{2/3}

Solution

simplify

100 0^{\frac{2}{3}}

Solution

100

Solution steps

100 0^{\frac{2}{3}}

Factor the number:

1000 = 1 0^{3}

= (1 0^{3})^{\frac{2}{3}}

Apply exponent rule:

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

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

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

= 1 0^{2}

1 0^{2} = 100

= 100

Popular Examples

x^2+x^2=(x+3)^2

x^{2} + x^{2} = (x + 3)^{2}

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8 a^{2} b + 16 a^{3} b - 24 a^{2} b^{2}

8 - ∣ 3 x + 2 ∣ = 9

Frequently Asked Questions (FAQ)

What is 1000^{2/3} ?
The solution to 1000^{2/3} is 100