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Popular >

simplify sqrt(b^7)

Solution

simplify

b^{7}

Solution

b^{3} b

Solution steps

b^{7}

Apply exponent rule:

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

b^{6 + 1} = b^{6} b

= b^{6} b

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

b^{6} b = b^{6} b

= b^{6} b

Simplify

b^{6} : b^{3}

= b^{3} b

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Frequently Asked Questions (FAQ)

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