What is (8ab^2c)(13a^2c) ?

The solution to (8ab^2c)(13a^2c) is 104a^3b^2c^2

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simplify (8ab^2c)(13a^2c)

simplify

(8 a b^{2} c) (13 a^{2} c)

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

Solution steps

(8 a b^{2} c) (13 a^{2} c)

Apply exponent rule:

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

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

= 8 b^{2} c \cdot 13 a^{1 + 2} c

Add the numbers:

1 + 2 = 3

= 8 b^{2} c \cdot 13 a^{3} c

Apply exponent rule:

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

cc = c^{1 + 1}

= 8 b^{2} \cdot 13 a^{3} c^{1 + 1}

Add the numbers:

1 + 1 = 2

= 8 b^{2} \cdot 13 a^{3} c^{2}

Multiply the numbers:

8 \cdot 13 = 104

= 104 a^{3} b^{2} c^{2}

(33375)^{2}

7^{5}

\frac{e ^{7}}{e ^{7}}

- e^{- t} \times cos (t)

30 e^{- 0.2 (8)}