Multiply and write your answer in scientific notation. Click Here for Help Video.

Question

Be sure to write your answer with the multiplication
×
×

(
2
×
1
0
11
)
(2×10
11
) ÷
(
8
×
1
0
4
)
(8×10
4
)

Answer 1

To solve \((2 \times 10^{11}) \div (8 \times 10^{4})\), we can follow these steps:

1. Divide the coefficients: \[ \frac{2}{8} = \frac{1}{4} = 0.25 \]

2. Subtract the exponents of 10: \[ 10^{11} \div 10^{4} = 10^{(11 - 4)} = 10^{7} \]

3. Combine the results: \[ (0.25) \times (10^{7}) \]

4. Convert \(0.25\) into scientific notation: \[ 0.25 = 2.5 \times 10^{-1} \]

5. Combine everything: \[ (2.5 \times 10^{-1}) \times (10^{7}) = 2.5 \times 10^{(7 - 1)} = 2.5 \times 10^{6} \]

Therefore, the final answer in scientific notation is:

\[ \boxed{2.5 \times 10^{6}} \]