Mathematics
monGraaa
17

(01.03 MC) 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.? 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 to the power of negative 12, 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, 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 15 multiplied by y to the power of negative 15.

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(2) Answers
larrylovechild

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.

ButterKing

haha, that is hard to read... [(xy^4)/(x^-5*y^5)]^-3 The pertinent rule, is the quotient rule for exponents... (a^b)/(a^c)=a^(b-c) And just in case you didn't realize:  a^-b= 1/(a^b) So what the expression really says is: [(x^6*y^4)/(y^5)]^-3 [(x^6)/y]^-3 (y/(x^6))^3 y^3/x^18 So if you can figure out which steps above equate to what you typed, more power to you :)

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