Rocky simplified an expression in three steps, as shown
x to the power of negative 5 multiplied by y to the power of 2, over y multiplied by x to the power of 3 multiplied by x to the power of 3 multiplied by y to the power of negative 5, the whole to the power of 2 equals x to the power of negative 10 multiplied by y to the power of 4, over y to the power of 2 multiplied by x to the power of 6 multiplied by x to the power of 6 multiplied by y to the power of negative 10 equals x to the power of negative 10 multiplied by y to the power of 4, over y to the power of negative 8 multiplied by x

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hello??

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thats what i chose

- anonymous

The final answer is:\[\frac{y^{12}}{x^{22}} \]

- anonymous

In Step 2, y^-8 is 1/y^8 . When inverted and multiplied by the numerator the exponent of y in the numerator becomes 12.
The same idea applies to x^-10 in the numerator. Can you see why on you own analysis?

- anonymous

Refer to the attachment from the Mathematica 9 program.

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ok i need help with one more

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Which of the following is a step in simplifying the expression x multiplied by y to the power of 3 over x to the power of negative 4 multiplied by y to the power of 4, the whole to the power of negative 2.?
x to the power of negative 2 multiplied by y to the power of negative 6, the whole over x to the power of 8 multiplied by y to the power of negative 8.
x to the power of negative 2 multiplied by y, the whole over x to the power of negative 6 multiplied by y to the power of 2.
x to the power of negative 2 multiplied by y to the power of negative 6, the whole over x to the power of negative 4 multiplied by y to the power of 4.
x to the power of negative 2 multiplied by y, the whole over x to the power of negative 4 multiplied by y to the power of 4.

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Hint:\[\frac{1}{\left(\frac{a}{b}\right)^2}=\frac{b^2}{a^2}\]

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i dont understand

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what do you think the answer is i need to pass 8th grade and this is my final test

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