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

The solution to (8a^2bc)(3ab^3c^2) is 24a^3b^4c^3

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simplify (8a^2bc)(3ab^3c^2)

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Multiply the numbers:

8 \cdot 3 = 24

= 24 a^{3} b^{4} c^{3}

5 e^{- 0.5}

x^{2} (x + 3) (x - 2)^{2}

7.25 \cdot 1 0^{- 9}

e^{- 5 (1)}

7.25 \cdot 1 0^{- 5}