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2 years ago

Simplify the expression (3x^2y^-3)^3/27(xy)^-9 . The simplified expression is________ . PLEASE HELP

Mathematics

1 answer:

nadezda [96]2 years ago

5 0

$\frac{(3x^{2}y^{-3})^{3}}{27(xy)^{-9}} = \frac{3^{3}}{27}\times x^{2\times 3-(-9)}y^{-3\times 3-(-9)}} = x^{15}$

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Inga [223]

Answer:

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Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

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Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y. Work shown below.

$2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51$

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