What is (9ab^3c)(11a^2b^6c) ?

The solution to (9ab^3c)(11a^2b^6c) is 99a^3b^9c^2

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simplify (9ab^3c)(11a^2b^6c)

simplify

(9 a b^{3} c) (11 a^{2} b^{6} c)

99 a^{3} b^{9} c^{2}

Solution steps

(9 a b^{3} c) (11 a^{2} b^{6} c)

Apply exponent rule:

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

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

= 9 b^{3} c \cdot 11 a^{1 + 2} b^{6} c

Add the numbers:

1 + 2 = 3

= 9 b^{3} c \cdot 11 a^{3} b^{6} c

Apply exponent rule:

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

b^{3} b^{6} = b^{3 + 6}

= 9 c \cdot 11 a^{3} b^{3 + 6} c

Add the numbers:

3 + 6 = 9

= 9 c \cdot 11 a^{3} b^{9} c

Apply exponent rule:

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

cc = c^{1 + 1}

= 9 \cdot 11 a^{3} b^{9} c^{1 + 1}

Add the numbers:

1 + 1 = 2

= 9 \cdot 11 a^{3} b^{9} c^{2}

Multiply the numbers:

9 \cdot 11 = 99

= 99 a^{3} b^{9} c^{2}

6 x^{2} (3 x)

4 \cdot 3.14 \cdot 4^{2}

e^{x} \cdot e^{x} \cdot e^{x}

e^{- 9.6}

What is (9ab^3c)(11a^2b^6c) ?
The solution to (9ab^3c)(11a^2b^6c) is 99a^3b^9c^2