What is (12x^3y^4z^5)(11x^2y^2z^2) ?

The solution to (12x^3y^4z^5)(11x^2y^2z^2) is 132x^5y^6z^7

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simplify (12x^3y^4z^5)(11x^2y^2z^2)

simplify

(12 x^{3} y^{4} z^{5}) (11 x^{2} y^{2} z^{2})

132 x^{5} y^{6} z^{7}

Solution steps

(12 x^{3} y^{4} z^{5}) (11 x^{2} y^{2} z^{2})

Apply exponent rule:

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

x^{3} x^{2} = x^{3 + 2}

= 12 y^{4} z^{5} \cdot 11 x^{3 + 2} y^{2} z^{2}

Add the numbers:

3 + 2 = 5

= 12 y^{4} z^{5} \cdot 11 x^{5} y^{2} z^{2}

Apply exponent rule:

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

y^{4} y^{2} = y^{4 + 2}

= 12 z^{5} \cdot 11 x^{5} y^{4 + 2} z^{2}

Add the numbers:

4 + 2 = 6

= 12 z^{5} \cdot 11 x^{5} y^{6} z^{2}

Apply exponent rule:

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

z^{5} z^{2} = z^{5 + 2}

= 12 \cdot 11 x^{5} y^{6} z^{5 + 2}

Add the numbers:

5 + 2 = 7

= 12 \cdot 11 x^{5} y^{6} z^{7}

Multiply the numbers:

12 \cdot 11 = 132

= 132 x^{5} y^{6} z^{7}

e^{- x} \frac{1}{x} sin^{2} (x)

(5 x^{2}) (2 x) (3 x^{3})

e^{2} \cdot e

e^{- 3} (\frac{3 ^{4}}{4 !})

What is (12x^3y^4z^5)(11x^2y^2z^2) ?
The solution to (12x^3y^4z^5)(11x^2y^2z^2) is 132x^5y^6z^7