Which of the following is an equivalent expression to 7/(-5.3)^0 + 4.9 when applying the zero power rule

Question

7/1 + 4.9

Answer 1

To simplify the expression \( \frac{7}{(-5.3)^0} + 4.9 \) using the zero power rule, we start by applying the property that any non-zero number raised to the power of zero is equal to 1. Therefore, \( (-5.3)^0 = 1 \).

Now substitute this value into the expression:

\[ \frac{7}{(-5.3)^0} + 4.9 = \frac{7}{1} + 4.9 \]

This simplifies to:

\[ 7 + 4.9 \]

Thus, the equivalent expression is:

\[ 7 + 4.9 \]

So, the initial expression simplifies to \( 7 + 4.9 \) when applying the zero power rule correctly.