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Popular >

simplify (6vw^6)(7v^8w^6)

Solution

simplify

(6 v w^{6}) (7 v^{8} w^{6})

Solution

42 v^{9} w^{12}

Solution steps

(6 v w^{6}) (7 v^{8} w^{6})

Apply exponent rule:

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

v v^{8} = v^{1 + 8}

= 6 w^{6} \cdot 7 v^{1 + 8} w^{6}

Add the numbers:

1 + 8 = 9

= 6 w^{6} \cdot 7 v^{9} w^{6}

Apply exponent rule:

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

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

= 6 \cdot 7 v^{9} w^{6 + 6}

Add the numbers:

6 + 6 = 12

= 6 \cdot 7 v^{9} w^{12}

Multiply the numbers:

6 \cdot 7 = 42

= 42 v^{9} w^{12}

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Frequently Asked Questions (FAQ)

What is (6vw^6)(7v^8w^6) ?
The solution to (6vw^6)(7v^8w^6) is 42v^9w^{12}