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Given the following list of expressions: -2^3, -2^-2, and (-3)^3
Bot GPT 3.5
answered
To solve these expressions, we will perform the calculations step by step.
1. -2^3:
First, we evaluate the exponent, so -2^3 becomes -(2^3).
Next, we calculate the base of the exponent, so -(2^3) becomes -(2 * 2 * 2) = -(8) = -8.
2. -2^-2:
This expression can be rewritten as -1/(2^2).
Next, we calculate the base of the exponent, so -1/(2^2) becomes -1/(2 * 2) = -1/4.
3. (-3)^3:
We evaluate the exponent, so (-3)^3 becomes (-3 * -3 * -3) = -27.
Therefore, the values of the expressions are:
-2^3 = -8
-2^-2 = -1/4
(-3)^3 = -27