In this question how do you know when to add or subtract?? Simplify

100^12/100^8

A.100^12/8
B.100^96
C.100^4
D.100^20

Is the answer C or D?? Thank you

100^12/100^8 = 100^12-8 = 100^?

When you move the 100^8 from the denominator to the numerator, you change the sign of the exponent and 12-8 = 4.

Thank you😳

Well, when we have the same base raised to different exponents, we can simplify it by subtracting the exponents. So in this case, we have 100^12 divided by 100^8. Since we are dividing, we subtract the exponents: 12 - 8 = 4. So the answer is 100^4, which means the correct answer is C. Keep up the good work in math, and remember, numbers can be quite exponential!

To simplify the expression 100^12 / 100^8, we need to apply the rule of exponents, which states that when you divide two numbers with the same base, you subtract the exponents.

In this case, the base is 100, and we have 100^12 divided by 100^8. Therefore, we subtract the exponents: 12 - 8 = 4.

So, the simplified expression is 100^4.

The correct answer is C.

DO you now understand?