(-10)^-1
A. -1/10
B. -1/1^10***
C. 1/10
D. 10
I had a little trouble when I started these. Can someone explain this to me?
a^-n = 1/a^n
so (-10)^-1 = 1/(-10^1 = -1/10
Thanks.
To find the value of (-10)^-1, we can follow these steps:
Step 1: Understand exponentiation rules
Remember that raising a number to a negative exponent is equivalent to taking the reciprocal of that number raised to the positive counterpart of the exponent. In other words, (-a)^-b = 1/(-a)^b.
Step 2: Evaluate (-10)^-1
Now let's apply this rule to (-10)^-1. We have (-10)^-1 = 1/(-10)^1.
Since (-10)^1 is just equal to -10, we can rewrite the expression as 1/(-10).
Step 3: Simplify the expression
To simplify 1/(-10), we need to divide 1 by -10.
Doing so gives us -1/10, which is the final answer.
Therefore, the correct option is A. -1/10.