What is expand (9abc^3)(14bc^2) ?

The solution to expand (9abc^3)(14bc^2) is 126ab^2c^5

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expand (9abc^3)(14bc^2)

expand

(9 ab c^{3}) (14 b c^{2})

126 a b^{2} c^{5}

Solution steps

(9 ab c^{3}) (14 b c^{2})

Remove parentheses:

(a) = a

= 9 ab c^{3} \cdot 14 b c^{2}

Multiply the numbers:

9 \cdot 14 = 126

= 126 abb c^{3} c^{2}

Apply exponent rule:

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

bb = b^{1 + 1}

= 126 a c^{3} b^{1 + 1} c^{2}

Add the numbers:

1 + 1 = 2

= 126 a c^{3} b^{2} c^{2}

Apply exponent rule:

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

c^{3} c^{2} = c^{3 + 2}

= 126 a b^{2} c^{3 + 2}

Add the numbers:

3 + 2 = 5

= 126 a b^{2} c^{5}

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What is expand (9abc^3)(14bc^2) ?
The solution to expand (9abc^3)(14bc^2) is 126ab^2c^5