7/(-5.3^0) + 4.9

3 answers

To simplify the expression \( \frac{7}{(-5.3^0)} + 4.9 \), we start by evaluating \( -5.3^0 \).

First, any number raised to the power of 0 is equal to 1, so: \[ -5.3^0 = 1 \]

Now, we can substitute this back into the expression: \[ \frac{7}{1} + 4.9 \]

This simplifies to: \[ 7 + 4.9 \]

Finally, adding these two numbers together gives: \[ 7 + 4.9 = 11.9 \]

Thus, the answer is: \[ \boxed{11.9} \]

are any of these equal to my equation?

7/5.3 + 4.9

7/0 + 4.9

7/5.3^0 + 36

7/1 + 4.9

Let's evaluate each of the provided equations to see if any are equal to your original equation \( \frac{7}{(-5.3^0)} + 4.9 \), which we simplified to \( 11.9 \).

  1. For \( \frac{7}{5.3} + 4.9 \): \[ \frac{7}{5.3} \approx 1.3208 \] \[ 1.3208 + 4.9 \approx 6.2208 \quad \text{(which is not equal to 11.9)} \]

  2. For \( \frac{7}{0} + 4.9 \): \(\frac{7}{0}\) is undefined, so this expression is invalid.

  3. For \( \frac{7}{5.3^0} + 36 \): Since \( 5.3^0 = 1 \): \[ \frac{7}{1} + 36 = 7 + 36 = 43 \quad \text{(which is not equal to 11.9)} \]

  4. For \( \frac{7}{1} + 4.9 \): \[ \frac{7}{1} + 4.9 = 7 + 4.9 = 11.9 \quad \text{(which is equal to 11.9)} \]

From this evaluation, the expression \( \frac{7}{1} + 4.9 \) is equal to your original equation \( \frac{7}{(-5.3^0)} + 4.9 \). So the correct match is:

\[ \frac{7}{1} + 4.9 \]