What is (9x^2y^3)(12x^{-3}y^5)(2xy) ?

The solution to (9x^2y^3)(12x^{-3}y^5)(2xy) is 216y^9

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simplify (9x^2y^3)(12x^{-3}y^5)(2xy)

simplify

(9 x^{2} y^{3}) (12 x^{- 3} y^{5}) (2 x y)

216 y^{9}

Solution steps

(9 x^{2} y^{3}) (12 x^{- 3} y^{5}) (2 x y)

Simplify

12 x^{- 3} y^{5} : \frac{12 y ^{5}}{x ^{3}}

= 9 x^{2} y^{3} \frac{12 y ^{5}}{x ^{3}} \cdot 2 x y

Multiply the numbers:

9 \cdot 2 = 18

= 18 x^{2} y^{3} \frac{12 y ^{5}}{x ^{3}} x y

Simplify

x^{2} x : x^{3}

= 18 x^{3} y^{3} \frac{12 y ^{5}}{x ^{3}} y

Simplify

y^{3} y : y^{4}

= 18 x^{3} y^{4} \frac{12 y ^{5}}{x ^{3}}

Cross-cancel common factor:

x^{3}

= 18 y^{4} \cdot 12 y^{5}

Multiply the numbers:

18 \cdot 12 = 216

= 216 y^{4} y^{5}

Apply exponent rule:

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

y^{4} y^{5} = y^{4 + 5}

= 216 y^{4 + 5}

Add the numbers:

4 + 5 = 9

= 216 y^{9}

(\frac{5}{3})_{(h - 49)}

6 x^{2} + 19 x + 15

- 6 < 2 + 2 x < 8

100 \cdot 0.0 4^{2} = 0.0032 \cdot v^{2}

5 + 3 x \geq 14

What is (9x^2y^3)(12x^{-3}y^5)(2xy) ?
The solution to (9x^2y^3)(12x^{-3}y^5)(2xy) is 216y^9