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Popular >

simplify L^{0.5}*(4L)^{0.5}

Solution

simplify

L^{0.5} \cdot (4 L)^{0.5}

Solution

2 L

Solution steps

L^{0.5} (4 L)^{0.5}

Simplify

(4 L)^{0.5} : 2 L^{\frac{1}{2}}

= L^{0.5} \cdot 2 L^{\frac{1}{2}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

L^{0.5} L^{\frac{1}{2}} = L^{0.5 + \frac{1}{2}}

= L^{0.5 + \frac{1}{2}} \cdot 2

Simplify

0.5 + \frac{1}{2} : 1

= L^{1} \cdot 2

Apply exponent rule:

a^{1} = a

L^{1} = L

= L \cdot 2

= 2 L

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Frequently Asked Questions (FAQ)

What is L^{0.5}*(4L)^{0.5} ?
The solution to L^{0.5}*(4L)^{0.5} is 2L