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Popular >

simplify (7a^2bc^3)(4abc)

Solution

simplify

(7 a^{2} b c^{3}) (4 ab c)

Solution

28 a^{3} b^{2} c^{4}

Solution steps

(7 a^{2} b c^{3}) (4 ab c)

Apply exponent rule:

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

a^{2} a = a^{2 + 1}

= 7 b c^{3} \cdot 4 a^{2 + 1} b c

Add the numbers:

2 + 1 = 3

= 7 b c^{3} \cdot 4 a^{3} b c

Apply exponent rule:

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

bb = b^{1 + 1}

= 7 c^{3} \cdot 4 a^{3} b^{1 + 1} c

Add the numbers:

1 + 1 = 2

= 7 c^{3} \cdot 4 a^{3} b^{2} c

Apply exponent rule:

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

c^{3} c = c^{3 + 1}

= 7 \cdot 4 a^{3} b^{2} c^{3 + 1}

Add the numbers:

3 + 1 = 4

= 7 \cdot 4 a^{3} b^{2} c^{4}

Multiply the numbers:

7 \cdot 4 = 28

= 28 a^{3} b^{2} c^{4}

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Frequently Asked Questions (FAQ)

What is (7a^2bc^3)(4abc) ?
The solution to (7a^2bc^3)(4abc) is 28a^3b^2c^4