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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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\frac{a p + 4 p - 2 a - 8}{2 p ^{2} - 8}

x + 4 x + 5 = 0

2 x^{2} + 14 x = 120

Frequently Asked Questions (FAQ)

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