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Popular >

simplify l^{0.5}*(1.5l)^{1.5}

Solution

simplify

l^{0.5} \cdot (1.5 l)^{1.5}

Solution

1. 5^{1.5} l^{2}

Solution steps

l^{0.5} (1.5 l)^{1.5}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(1.5 l)^{1.5} = 1. 5^{1.5} l^{1.5}

= l^{0.5} \cdot 1. 5^{1.5} l^{1.5}

Simplify

l^{0.5} l^{1.5} : l^{2}

= l^{2} \cdot 1. 5^{1.5}

= 1. 5^{1.5} l^{2}

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Frequently Asked Questions (FAQ)

What is l^{0.5}*(1.5l)^{1.5} ?
The solution to l^{0.5}*(1.5l)^{1.5} is 1.5^{1.5}l^2