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Popular >

simplify (v^6w^3)(v^9w)

Solution

simplify

(v^{6} w^{3}) (v^{9} w)

Solution

v^{15} w^{4}

Solution steps

(v^{6} w^{3}) (v^{9} w)

Apply exponent rule:

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

v^{6} v^{9} = v^{6 + 9}

= w^{3} v^{6 + 9} w

Add the numbers:

6 + 9 = 15

= w^{3} v^{15} w

Apply exponent rule:

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

w^{3} w = w^{3 + 1}

= v^{15} w^{3 + 1}

Add the numbers:

3 + 1 = 4

= v^{15} w^{4}

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Frequently Asked Questions (FAQ)

What is (v^6w^3)(v^9w) ?
The solution to (v^6w^3)(v^9w) is v^{15}w^4