Which of the following is an equivalent expression to 7/-5.3 to the power of 0 + 4 times 9 when applying the zero power rule

Answer 1

To evaluate the expression \( \frac{7}{-5.3^0} + 4 \times 9 \) while applying the zero power rule, follow these steps:

1. Zero Power Rule: According to the zero power rule, any non-zero number raised to the power of 0 is equal to 1. Thus, \( -5.3^0 = 1 \).

2. Substituting Back: Now substitute this value back into the expression: \[ \frac{7}{-5.3^0} + 4 \times 9 = \frac{7}{1} + 4 \times 9 \]

3. Simplification: The expression simplifies to: \[ 7 + 4 \times 9 \]

4. Calculating \( 4 \times 9 \): Perform the multiplication: \[ 4 \times 9 = 36 \]

5. Final Calculation: Now, combine the results: \[ 7 + 36 = 43 \]

Thus, the equivalent expression evaluates to \( 43 \).