Questions: Simplify the expression. Assume that all bases are not equal to 0 . (-6 x)^0 (-6 x)^0=

Transcript text: Simplify the expression. Assume that all bases are not equal to 0 . \[ (-6 x)^{0} \] \[ (-6 x)^{0}= \] $\square$

Solution

Step 1: Understand the Zero Exponent Rule

Any non-zero number or expression raised to the power of 0 is equal to 1. This is known as the Zero Exponent Rule.

Step 2: Apply the Zero Exponent Rule

Since $-6x$ is a non-zero expression (as per the assumption in the question), raising it to the power of 0 gives: \[ (-6x)^0 = 1 \]

Step 3: Write the Final Simplified Expression

The simplified form of $(-6x)^0$ is: \[ \boxed{1} \]

$\boxed{1}$

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