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Tom simplified an expression in three steps, as shown:
x to the power of negative 2 multiplied by y to the power of 4, over y multiplied by x to the power of 4 multiplied by x to the power of 4 multiplied by y to the power of negative 2, the whole to the power of 4
Step 1:
x to the power of 2 multiplied by y to the power of 8, over y to the power of 4 multiplied by x to the power of 8 multiplied by x to the power of 8 multiplied by y to the power of 2
Step 2:
x to the power of 2 multiplied by y to the power of 8, over y to the power of 6 multiplied by x to the power of 16.
Step 3:
x to the power of negative 13 multiplied by y squared
Which is the first incorrect step and why?
Step 1, all the exponents are increased by 4
Step 2, the exponents of the same base are added during multiplication
Step 3, the exponents of the same base are subtracted during division
Step 3, all the exponents are added during division
Answer: Step 1, all the exponents are increased by 4
Explanation: The first incorrect step is Step 1 because you can add exponents during multiplication and subtract exponents during division. Step 3 didn’t happen at all because they subtracted the exponents when dividing
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