What is -2^5 and how does it compare to (-2)^5?

1 answer

The expression -2^5 means -2 raised to the power of 5. In this case, the exponent applies only to the 2, not the negative sign. Therefore, -2^5 is equal to -32.

On the other hand, (-2)^5 means (-2) raised to the power of 5. In this case, the exponent applies to the entire base (-2). So, (-2)^5 is equal to -32 as well.

Both expressions yield the same result of -32, but the first one (-2^5) is a negative number raised to the 5th power, while the second one (-2)^5, is the entire base (-2) raised to the 5th power.
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