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Popular >

simplify sqrt(w^7)

Solution

simplify

w^{7}

Solution

w^{3} w

Solution steps

w^{7}

Apply exponent rule:

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

w^{6 + 1} = w^{6} w

= w^{6} w

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

w^{6} w = w^{6} w

= w^{6} w

Simplify

w^{6} : w^{3}

= w^{3} w

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Frequently Asked Questions (FAQ)

What is sqrt(w^7) ?
The solution to sqrt(w^7) is w^3sqrt(w)