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Popular >

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

Solution

simplify

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

Solution

25 x

Solution steps

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

Multiply the numbers:

5 \cdot 5 = 25

= 25 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}}

= 25 x^{\frac{1}{2} + \frac{1}{2}}

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

= 25 x^{1}

Apply exponent rule:

a^{1} = a

x^{1} = x

= 25 x

Popular Examples

factor 9b^3+3b^2+24b+8 factor

9 b^{3} + 3 b^{2} + 24 b + 8

simplify i^{18}simplify

i^{18}

simplify (x^5y^2z^8)/((xy)^{-3)}simplify

\frac{x ^{5} y ^{2} z ^{8}}{( x y ) ^{- 3}}

factor a^2+10a+25 factor

a^{2} + 10 a + 25

25 x^{2} + 30 x + 9 = 0

Frequently Asked Questions (FAQ)

What is 5x^{1/2}*5x^{1/2} ?
The solution to 5x^{1/2}*5x^{1/2} is 25x