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!