What is (13a^2bc^3)(6ac^2) ?

The solution to (13a^2bc^3)(6ac^2) is 78a^3bc^5

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simplify (13a^2bc^3)(6ac^2)

simplify

(13 a^{2} b c^{3}) (6 a c^{2})

78 a^{3} b c^{5}

Solution steps

(13 a^{2} b c^{3}) (6 a c^{2})

Apply exponent rule:

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

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

= 13 b c^{3} \cdot 6 a^{2 + 1} c^{2}

Add the numbers:

2 + 1 = 3

= 13 b c^{3} \cdot 6 a^{3} c^{2}

Apply exponent rule:

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

c^{3} c^{2} = c^{3 + 2}

= 13 b \cdot 6 a^{3} c^{3 + 2}

Add the numbers:

3 + 2 = 5

= 13 b \cdot 6 a^{3} c^{5}

Multiply the numbers:

13 \cdot 6 = 78

= 78 a^{3} b c^{5}

2 π x (6 e^{- x^{2}})

e^{- (3 l n (5))}

- 2 e^{- 2 (1)}

4.3657300000000 \dots \cdot 1 0^{- 19}

0.0000000011 \cdot 1 0^{- 6}