Questions: Simplify the expression. Assume that all bases are not equal to 0. (-5 x)^0 (-5 x)^0=

Transcript text: Practice Test 3 - Chapter 5 Do Homework - Practice Test 3 son.com/Student/PlayerHomework.aspx?homeworkId=682052429\&questionld=1\&flus 24 Test 3 - Chapter 5 Question Simplify the expression. Assume that all bases are not equal to 0 . \[ \begin{array}{c} (-5 x)^{0} \\ (-5 x)^{0}= \end{array} \] $\square$ View an example Get more help - Search

Solution

Solution Steps

To simplify the expression $(-5x)^0$, we use the property of exponents that states any non-zero number raised to the power of 0 is equal to 1. Therefore, regardless of the value of $-5x$, as long as it is not zero, the expression simplifies to 1.

Step 1: Identify the Expression

We start with the expression $(-5x)^0$. According to the properties of exponents, any non-zero base raised to the power of 0 equals 1.

Step 2: Apply the Exponent Rule

Since $-5x$ is not equal to 0 (assuming $x \neq 0$), we can apply the exponent rule: \[ (-5x)^0 = 1 \]

Step 3: Conclusion

Thus, the simplified expression is 1.