What is (4ab^2c)(8a^2c)(3b) ?

The solution to (4ab^2c)(8a^2c)(3b) is 96a^3b^3c^2

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simplify (4ab^2c)(8a^2c)(3b)

simplify

(4 a b^{2} c) (8 a^{2} c) (3 b)

96 a^{3} b^{3} c^{2}

Solution steps

(4 a b^{2} c) (8 a^{2} c) (3 b)

Apply exponent rule:

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

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

= 4 b^{2} c \cdot 8 a^{1 + 2} c \cdot 3 b

Add the numbers:

1 + 2 = 3

= 4 b^{2} c \cdot 8 a^{3} c \cdot 3 b

Apply exponent rule:

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

b^{2} b = b^{2 + 1}

= 4 c \cdot 8 a^{3} c \cdot 3 b^{2 + 1}

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

cc = c^{1 + 1}

= 4 \cdot 8 a^{3} c^{1 + 1} \cdot 3 b^{3}

Add the numbers:

1 + 1 = 2

= 4 \cdot 8 a^{3} c^{2} \cdot 3 b^{3}

Multiply the numbers:

4 \cdot 8 \cdot 3 = 96

= 96 a^{3} b^{3} c^{2}

(6 y^{16} z^{20}) (8 y z^{5})

(x + z)^{2} (y + z)^{2} (x + y)^{2}

\frac{- 300}{- 10}

What is (4ab^2c)(8a^2c)(3b) ?
The solution to (4ab^2c)(8a^2c)(3b) is 96a^3b^3c^2