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Popular >

simplify sqrt(x^3)sqrt(x^5)

Solution

simplify

x^{3} x^{5}

Solution

x^{4}

Solution steps

x^{3} x^{5}

Simplify

x^{3} : x x

= x x x^{5}

Simplify

x^{5} : x^{2} x

= x x x^{2} x

Apply radical rule:

a a = a,

assuming

a \geq 0

x x = x

= xx x^{2}

Apply exponent rule:

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

xx x^{2} = x^{1 + 1 + 2}

= x^{1 + 1 + 2}

Add the numbers:

1 + 1 + 2 = 4

= x^{4}

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Frequently Asked Questions (FAQ)

What is sqrt(x^3)sqrt(x^5) ?
The solution to sqrt(x^3)sqrt(x^5) is x^4