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Popular >

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

Solution

simplify

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

Solution

2 k

Solution steps

k^{0.5} (4 k)^{0.5}

Simplify

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

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

Apply exponent rule:

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

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

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

Simplify

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

= k^{1} \cdot 2

Apply exponent rule:

a^{1} = a

k^{1} = k

= k \cdot 2

= 2 k

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Frequently Asked Questions (FAQ)

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