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jeka57 [31]
3 years ago
11

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 negati

ve 4 multiplied by y to the power of 4, the whole to the power of negative 2.?
Mathematics
1 answer:
Archy [21]3 years ago
7 0

Answer:

Once the rules of exponents are understood, you can begin solving more complicated expressions more easily. Recall that when you take a power to a power, you multiply the exponents, (xa)b= xa·b.


 


What happens when you raise an entire expression inside parentheses to a power? You can use the techniques you already know to simplify this expression.


 


            (2a)4  =  (2a)(2a)(2a)(2a)  =  (2 • 2 • 2 • 2)(a • a • a • a) = (24)(a4) = 16a4


 


Notice that the exponent is applied to each factor of 2a. So, we can eliminate the middle steps.


 


(2a)4  =  (24)(a4), applying the 4 to each factor, 2 and a.


= 16a4


 


The product of two or more numbers raised to a power is equal to the product of each number raised to the same power.



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