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Popular >

simplify (6a^4bc)(7ab^3c)

Solution

simplify

(6 a^{4} b c) (7 a b^{3} c)

Solution

42 a^{5} b^{4} c^{2}

Solution steps

(6 a^{4} b c) (7 a b^{3} c)

Apply exponent rule:

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

a^{4} a = a^{4 + 1}

= 6 b c \cdot 7 a^{4 + 1} b^{3} c

Add the numbers:

4 + 1 = 5

= 6 b c \cdot 7 a^{5} b^{3} c

Apply exponent rule:

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

b b^{3} = b^{1 + 3}

= 6 c \cdot 7 a^{5} b^{1 + 3} c

Add the numbers:

1 + 3 = 4

= 6 c \cdot 7 a^{5} b^{4} c

Apply exponent rule:

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

cc = c^{1 + 1}

= 6 \cdot 7 a^{5} b^{4} c^{1 + 1}

Add the numbers:

1 + 1 = 2

= 6 \cdot 7 a^{5} b^{4} c^{2}

Multiply the numbers:

6 \cdot 7 = 42

= 42 a^{5} b^{4} c^{2}

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Frequently Asked Questions (FAQ)

What is (6a^4bc)(7ab^3c) ?
The solution to (6a^4bc)(7ab^3c) is 42a^5b^4c^2