Question

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Rocky simplified an expression in three steps, as shown below:

x to the power of negative 5 multiplied by y to the power of 2, over y multiplied by x to the power of 3 multiplied by x to the power of 3 multiplied by y to the power of negative 5, the whole to the power of 2 equals x to the power of negative 10 multiplied by y to the power of 4, over y to the power of 2 multiplied by x to the power of 6 multiplied by x to the power of 6 multiplied by y to the power of negative 10 equals x to the power of negative 10 multiplied by y to the power of 4, over y to the power of negative 8 multiplied by x to the power of 12 equals x to the power of 2 times y to the power of negative 4.

Which is the first incorrect step and why?

Step 1: all the exponents are increased by 2
Step 1: all the exponents are multiplied by 2
Step 2: the exponents in the denominator are added during multiplication
Step 3: the exponents of the same base are added during division

Answer 1

Answer:

Step three is wrong. Step 3: the exponents of the same base are added during division

Step-by-step explanation:

because when you divide you need to use the quotient rule which is division, which you need to subtract the exponents, in this problem they are added. So this is wrong.