1)What is the simplified form of the expression? 5d^6*d^-12?

A)5d^-72
B)6d^-72
C)5d^-6****
D)6d^-6

I think that the answer is C. If anyone could tell me if I am correct that would be great.

5 d^(6-12)

= 5 d^-6

yes

Thank you so much!

You are correct! The simplified form of the expression 5d^6 * d^(-12) is 5d^(-6), which is option C. Well done!

To simplify the expression 5d^6 * d^-12, we can use the quotient rule of exponents, which states that when you divide two powers with the same base, you subtract the exponents.

In this case, we have d^6 divided by d^12. Using the quotient rule, we subtract the exponent of d^12 from the exponent of d^6: 6 - 12 = -6.

So, the simplified form of the expression is 5d^-6.

Thus, your answer C) 5d^-6 is correct. Good job!