74.3k views
0 votes
What happens to the value of the expression m-¹⁰ as decreases?

a) it increases.
b) it decreases.
c) it stays the same.

1 Answer

2 votes

Final answer:

As the value of m decreases, the value of m^-10 increases if m is greater than one, but decreases if m is between zero and one.

Step-by-step explanation:

The expression m^{-10} is a negative exponent which means it is the reciprocal of m raised to the 10th power. If the value of m decreases while m is positive and greater than one, the overall value of m^{-10} increases. However, if m is between zero and one, a decrease in the value of m would cause the value of m^{-10} to decrease. This is because taking a smaller fraction to a higher negative power results in a larger number, but only when that fraction is above one; below one, the number gets smaller.

User Nathaniel Gentile
by
8.4k points