What is (6a^4bc^2)(7a^4b^3c) ?

The solution to (6a^4bc^2)(7a^4b^3c) is 42a^8b^4c^3

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simplify (6a^4bc^2)(7a^4b^3c)

simplify

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

42 a^{8} b^{4} c^{3}

Solution steps

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

Apply exponent rule:

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

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

= 6 b c^{2} \cdot 7 a^{4 + 4} b^{3} c

Add the numbers:

4 + 4 = 8

= 6 b c^{2} \cdot 7 a^{8} b^{3} c

Apply exponent rule:

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

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

= 6 c^{2} \cdot 7 a^{8} b^{1 + 3} c

Add the numbers:

1 + 3 = 4

= 6 c^{2} \cdot 7 a^{8} b^{4} c

Apply exponent rule:

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

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

= 6 \cdot 7 a^{8} b^{4} c^{2 + 1}

Add the numbers:

2 + 1 = 3

= 6 \cdot 7 a^{8} b^{4} c^{3}

Multiply the numbers:

6 \cdot 7 = 42

= 42 a^{8} b^{4} c^{3}

(1 - 2 x)^{- 4}

49 \cdot 3000 0^{- 0.07578}

\frac{b ^{-}}{b ^{10}}

e^{- 2.4} \cdot 2.4

p - q p + q

What is (6a^4bc^2)(7a^4b^3c) ?
The solution to (6a^4bc^2)(7a^4b^3c) is 42a^8b^4c^3