What is (5a^2b^2)(2ab^2c^2) ?

The solution to (5a^2b^2)(2ab^2c^2) is 10a^3b^4c^2

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simplify (5a^2b^2)(2ab^2c^2)

simplify

(5 a^{2} b^{2}) (2 a b^{2} c^{2})

10 a^{3} b^{4} c^{2}

Solution steps

(5 a^{2} b^{2}) (2 a b^{2} c^{2})

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 2 = 4

= 5 \cdot 2 a^{3} b^{4} c^{2}

Multiply the numbers:

5 \cdot 2 = 10

= 10 a^{3} b^{4} c^{2}

0.00031 \cdot 6 0^{- 0.575} \cdot 19 0^{0.725}

e^{- a t} u (t - 1)

4 \cdot e^{- 4}

(0 - 1) e^{- 0}

e^{2 t} e^{- t}

What is (5a^2b^2)(2ab^2c^2) ?
The solution to (5a^2b^2)(2ab^2c^2) is 10a^3b^4c^2