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Popular >

simplify 3x^{1/2}*5x^{1/2}

Solution

simplify

3 x^{\frac{1}{2}} \cdot 5 x^{\frac{1}{2}}

Solution

15 x

Solution steps

3 x^{\frac{1}{2}} \cdot 5 x^{\frac{1}{2}}

Multiply the numbers:

3 \cdot 5 = 15

= 15 x^{\frac{1}{2}} x^{\frac{1}{2}}

Apply exponent rule:

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

x^{\frac{1}{2}} x^{\frac{1}{2}} = x^{\frac{1}{2} + \frac{1}{2}}

= 15 x^{\frac{1}{2} + \frac{1}{2}}

\frac{1}{2} + \frac{1}{2} = 1

= 15 x^{1}

Apply exponent rule:

a^{1} = a

x^{1} = x

= 15 x

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Frequently Asked Questions (FAQ)

What is 3x^{1/2}*5x^{1/2} ?
The solution to 3x^{1/2}*5x^{1/2} is 15x