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

The solution to (a^2b^2c)(ab^3)(a^2bc^2) is a^5b^6c^3

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

simplify

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

a^{5} b^{6} c^{3}

Solution steps

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

Apply exponent rule:

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

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

= b^{2} c b^{3} a^{2 + 1 + 2} b c^{2}

Add the numbers:

2 + 1 + 2 = 5

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

Apply exponent rule:

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

b^{2} b^{3} b = b^{2 + 3 + 1}

= c a^{5} b^{2 + 3 + 1} c^{2}

Add the numbers:

2 + 3 + 1 = 6

= c a^{5} b^{6} c^{2}

Apply exponent rule:

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

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

= a^{5} b^{6} c^{1 + 2}

Add the numbers:

1 + 2 = 3

= a^{5} b^{6} c^{3}

\frac{x ^{3}}{y ^{3}}

0.23 (0.5) e^{- 0.4 (0.5)}

9 2^{2}

What is (a^2b^2c)(ab^3)(a^2bc^2) ?
The solution to (a^2b^2c)(ab^3)(a^2bc^2) is a^5b^6c^3