Which of the following is the equivalent expression to (15−3 ⋅ 47)04−3 that has been generated by applying the Properties of Integer Exponents?

Answer 1

To simplify the expression \( (15 - 3 \cdot 47) \cdot 04^{-3} \) by applying the properties of integer exponents, we'll first simplify the components inside the parentheses.

1. Calculate the value of \( 3 \cdot 47 \): \[ 3 \cdot 47 = 141 \]

2. Subtract from 15: \[ 15 - 141 = -126 \]

Now, substitute \(-126\) back into the expression:

\[ -126 \cdot 04^{-3} \]

3. Recognize that any number multiplied by \( 0 \) is \( 0 \): \[ 04^{-3} = 0^{-3} = 0 \]

Thus, the expression simplifies to:

\[ -126 \cdot 0 = 0 \]

The equivalent expression generated by applying the properties of integer exponents is:

\[ 0 \]