Powers with negative bases and zero exponents

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Learn it $(-3)^2 = 9$ but $-3^2 = -9$: the brackets decide what is squared. An even power of a negative is positive; an odd power is negative. Any non-zero number to the power 0 is 1.

Example: Evaluate $(-2)^5 + (-2)^4 + 7^0$.

$(-2)^5 = -32$ (odd power → negative).
$(-2)^4 = 16$ (even power → positive).
$7^0 = 1$. Total: $-32 + 16 + 1 = -15$.

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