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Popular >

simplify (l^2)^{3/2}

Solution

simplify

(l^{2})^{\frac{3}{2}}

Solution

l^{3}

Solution steps

(l^{2})^{\frac{3}{2}}

Apply exponent rule:

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

assuming

a \geq 0

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

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

= l^{3}

Popular Examples

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Frequently Asked Questions (FAQ)

What is (l^2)^{3/2} ?
The solution to (l^2)^{3/2} is l^3