Which of the following is an equivalent expression to $$ \frac{7}{(-5.3)^{\prime}}+4.9 $$ when applying the Zero Power Rule? $$ \begin{array}{l}\frac{7}{5.3}+4.9 \ \frac{7}{5.3}+36 \ \frac{7}{0}+4.9 \ \frac{7}{1}+4.9\end{array} $$

Question

UpStudy AI · Accepted Answer

To determine the equivalent expression by applying the **Zero Power Rule**, let's first clarify the given expression:

$$
\frac{7}{(-5.3)^{\prime}} + 4.9
$$

The notation $$ (-5.3)^{\prime} $$ is unconventional in this context. However, considering the reference to the **Zero Power Rule**, it is reasonable to interpret $$ (-5.3)^{\prime} $$ as $$ (-5.3)^0 $$.

The **Zero Power Rule** states that any non-zero number raised to the power of zero is 1:

$$
a^0 = 1 \quad \text{for any } a \neq 0
$$

Applying this rule:

$$
(-5.3)^0 = 1
$$

Substituting back into the original expression:

$$
\frac{7}{1} + 4.9 = 7 + 4.9 = 11.9
$$

Among the provided options, the one that correctly represents this step is:

$$
\frac{7}{1} + 4.9
$$

**Answer:** $$ \frac{7}{1}+4.9 $$
The equivalent expression is $$ \frac{7}{1} + 4.9 $$.

Which of the following is an equivalent expression to when applying the Zero Power Rule?

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Algebra Questions