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Popular >

simplify (6abc)(5a^3c^2)

Solution

simplify

(6 ab c) (5 a^{3} c^{2})

Solution

30 a^{4} b c^{3}

Solution steps

(6 ab c) (5 a^{3} c^{2})

Apply exponent rule:

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

a a^{3} = a^{1 + 3}

= 6 b c \cdot 5 a^{1 + 3} c^{2}

Add the numbers:

1 + 3 = 4

= 6 b c \cdot 5 a^{4} c^{2}

Apply exponent rule:

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

c c^{2} = c^{1 + 2}

= 6 b \cdot 5 a^{4} c^{1 + 2}

Add the numbers:

1 + 2 = 3

= 6 b \cdot 5 a^{4} c^{3}

Multiply the numbers:

6 \cdot 5 = 30

= 30 a^{4} b c^{3}

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Frequently Asked Questions (FAQ)

What is (6abc)(5a^3c^2) ?
The solution to (6abc)(5a^3c^2) is 30a^4bc^3