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Popular >

simplify-100^{3/2}

Solution

simplify

- 10 0^{\frac{3}{2}}

Solution

- 1000

Solution steps

- 10 0^{\frac{3}{2}}

Factor the number:

100 = 1 0^{2}

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

Apply exponent rule:

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

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

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

= - 1 0^{3}

- 1 0^{3} = - 1000

= - 1000

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Frequently Asked Questions (FAQ)

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