Divide the following and express your answer in appropriate scientific notation: $$ \frac{8.64 \times 10^{-25}}{2.7 \times 10^{13}} $$

Question

UpStudy AI · Accepted Answer

We start with the expression:

$$
\frac{8.64 \times 10^{-25}}{2.7 \times 10^{13}}
$$

**Step 1: Divide the Coefficients**

Divide $$8.64$$ by $$2.7$$:

$$
\frac{8.64}{2.7} = 3.2
$$

**Step 2: Divide the Powers of 10**

When dividing powers of $$10$$, subtract the exponent of the denominator from that of the numerator:

$$
\frac{10^{-25}}{10^{13}} = 10^{-25-13} = 10^{-38}
$$

**Step 3: Combine the Results**

Multiply the coefficient result by the power of $$10$$:

$$
3.2 \times 10^{-38}
$$

Thus, the final answer in scientific notation is:

$$
3.2 \times 10^{-38}
$$
The answer is $$3.2 \times 10^{-38}$$.

Divide the following and express your answer in appropriate scientific notation: \[ \frac{8.64 \times 10^{-25}}{2.7 \times 10^{13}} \]