Choose the correct simplification of x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4th power. x10z7 x14z15 1 over x to the 10th power times z to the 7th power 1 over x to the 14th power times z to the 15th power

Step-by-step explanation:

Given expression is x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4th power.

The given expression can be written as

Now we have to simplify the given expression as below

  ( by using the identity )

( by using the identity )

∴

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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