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Popular >

simplify (10v)(3v^4)3v

Solution

simplify

(10 v) (3 v^{4}) 3 v

Solution

90 v^{6}

Solution steps

(10 v) (3 v^{4}) \cdot 3 v

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

= 10 v v^{4} \cdot 3^{1 + 1} v

Add the numbers:

1 + 1 = 2

= 10 v v^{4} \cdot 3^{2} v

Apply exponent rule:

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

v v^{4} v = v^{1 + 4 + 1}

= 10 \cdot 3^{2} v^{1 + 4 + 1}

Add the numbers:

1 + 4 + 1 = 6

= 10 \cdot 3^{2} v^{6}

3^{2} = 9

= 10 \cdot 9 v^{6}

Multiply the numbers:

10 \cdot 9 = 90

= 90 v^{6}

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Frequently Asked Questions (FAQ)

What is (10v)(3v^4)3v ?
The solution to (10v)(3v^4)3v is 90v^6