Calculate. $$ \frac{9 \times 10^{6}}{2 \times 10^{4}} $$ Write your answer in scientific notation

Question

UpStudy AI · Accepted Answer

1. Write the expression:
   $$
   \frac{9 \times 10^6}{2 \times 10^4}
   $$

2. Rearrange the expression by grouping the numerical coefficients and the powers of 10:
   $$
   \frac{9}{2} \times \frac{10^6}{10^4}
   $$

3. Simplify the powers of 10 using the law of exponents:
   $$
   \frac{10^6}{10^4} = 10^{6-4} = 10^2
   $$

4. Substitute back into the expression:
   $$
   \frac{9}{2} \times 10^2
   $$

5. Convert $$\frac{9}{2}$$ to a decimal:
   $$
   \frac{9}{2} = 4.5
   $$

6. Write the final answer in scientific notation:
   $$
   4.5 \times 10^2
   $$
The answer is $$4.5 \times 10^2$$.

Calculate. \[ \frac{9 \times 10^{6}}{2 \times 10^{4}} \] Write your answer in scientific notation