Evaluate: Give answers as fractions or integers.
1. (3^-2)^-1
2. -6^-2
For #1, I got positive 9. Is that correct?
For #2, I got 1/-36. Is that correct?
# 1 is 9. so yeah you get it correct.
_
# 2 is -0.027.
I got the same for #1.
For #2
(-6)^-2
=1/((-6)^2)
=1/(36
You are CORRECT on #2. Also
There is no parenthesis in the problem. I copied it down and added it.
Thanks for the replys.
To evaluate these expressions, we need to follow the order of operations and apply the exponent rules. Let's break it down step by step.
1. (3^-2)^-1:
First, let's simplify the expression within the parentheses. According to the exponent rule for raising a power to a power, we multiply the exponents. So, (3^-2)^-1 becomes 3^(-2 * -1).
Now, multiplying -2 and -1 gives us 2. Therefore, the expression becomes 3^2.
Finally, evaluating 3^2 is simply 3 * 3, which equals 9.
To summarize, (3^-2)^-1 simplifies to 9.
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2. -6^-2:
Here, we have a negative sign in front of the exponent -2. To evaluate this expression, we first need to evaluate the exponent and then apply the negative sign.
The exponent -2 means taking the reciprocal of the base raised to the positive exponent 2. So, -6^-2 can be written as -1/(6^2).
Evaluating 6^2 gives us 36. Hence, the expression becomes -1/36.
To summarize, -6^-2 simplifies to -1/36.
Therefore, your answers are correct. Well done!