Evaluating Absolute Value of Negative One-Power Expression: |(-5)^1|

The order of operations matters! You must evaluate what's inside the absolute value bars first. So $(-5)^1$ becomes $-5$, then you apply the absolute value.

Great question! $|(-5)^1| = |-5| = 5$, but $|-5|^1 = 5^1 = 5$. They give the same answer here, but the order of operations is different. Always work from inside the absolute value bars outward.

Yes! When the exponent is 1, $(-5)^1 = -5^1 = -5$. The parentheses don't change anything when the exponent is odd. But be careful with even exponents - that's when parentheses matter!

Almost always! The absolute value of any real number is non-negative (positive or zero). Since $(-5)^1 = -5$ and $-5 < 0$, the absolute value gives us $5 > 0$.

Then $(-5)^0 = 1$ (any non-zero number to the power of 0 equals 1), so $|(-5)^0| = |1| = 1$. The absolute value of 1 is still 1!