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Popular >

simplify (4a^3b)(3a^6b^4c)

Solution

simplify

(4 a^{3} b) (3 a^{6} b^{4} c)

Solution

12 a^{9} b^{5} c

Solution steps

(4 a^{3} b) (3 a^{6} b^{4} c)

Apply exponent rule:

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

a^{3} a^{6} = a^{3 + 6}

= 4 b \cdot 3 a^{3 + 6} b^{4} c

Add the numbers:

3 + 6 = 9

= 4 b \cdot 3 a^{9} b^{4} c

Apply exponent rule:

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

b b^{4} = b^{1 + 4}

= 4 \cdot 3 a^{9} b^{1 + 4} c

Add the numbers:

1 + 4 = 5

= 4 \cdot 3 a^{9} b^{5} c

Multiply the numbers:

4 \cdot 3 = 12

= 12 a^{9} b^{5} c

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Frequently Asked Questions (FAQ)

What is (4a^3b)(3a^6b^4c) ?
The solution to (4a^3b)(3a^6b^4c) is 12a^9b^5c