Question

Which of the following is a step in simplifying the expression x multiplied by y to the power of 4 over x to the power of negative 5 multiplied by y to the power of 5, the whole to the power of negative 3.? (5 points)
Group of answer choices

x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.

x to the power of negative 3 multiplied by y, the whole over x to the power of negative 8 multiplied by y to the power of 2.

x to the power of negative 3 multiplied by y, the whole over x to the power of negative 5 multiplied by y to the power of 5.

x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of negative 5 multiplied by y to the power of 5.

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Question 6

Answer 1

Answer:

x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.

Step-by-step explanation:

Given:

$(\frac{xy^4}{x^{-5}y^5} )^{-3}$

We need to simplify the equation.

As while solving these kind of problems, keep in mind the following Law on Indices:

1. $(a^m)^n=a^{mn}$

Applying the same we get;

$\frac{x^{-3}(y^4)^{-3}}{(x^{-5})^{-3}(y^5)^{-3}}\\\\\frac{x^{-3}y^{4\times-3}}{x^{-5\times-3}y^{5\times-3}} \\\\\frac{x^{-3}y^{-12}}{x^{15}y^{-15}}$

Final Answer:

x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.