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Popular >

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

Solution

simplify

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

Solution

8 k

Solution steps

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

Simplify

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

= 4 k^{0.5} \cdot 2 k^{\frac{1}{2}}

Multiply the numbers:

4 \cdot 2 = 8

= 8 k^{0.5} 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}}

= 8 k^{0.5 + \frac{1}{2}}

Simplify

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

= 8 k^{1}

Apply exponent rule:

a^{1} = a

k^{1} = k

= 8 k

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Frequently Asked Questions (FAQ)

What is 4k^{0.5}(4k)^{0.5} ?
The solution to 4k^{0.5}(4k)^{0.5} is 8k