Multiply. Write your answer in scientific $$ \left(4.5 imes 10^{5} ight)\left(4.2 imes 10^{4} ight) $$

Question

Multiply. Write your answer in scientific $$ \left(4.5 	imes 10^{5}ight)\left(4.2 	imes 10^{4}ight) $$

UpStudy AI · Accepted Answer

1. Multiply the coefficients:

$$
4.5 \times 4.2 = 18.9
$$

2. Multiply the powers of 10 by adding the exponents:

$$
10^5 \times 10^4 = 10^{5+4} = 10^9
$$

3. Combine the results:

$$
(4.5 \times 10^5)(4.2 \times 10^4) = 18.9 \times 10^9
$$

4. Write the answer in proper scientific notation. Since $$18.9 = 1.89 \times 10$$, we can rewrite:

$$
18.9 \times 10^9 = 1.89 \times 10 \times 10^9 = 1.89 \times 10^{10}
$$

The final answer is:

$$
1.89 \times 10^{10}
$$
$$1.89 \times 10^{10}$$

Multiply. Write your answer in scientific \( \left(4.5 \times 10^{5}\right)\left(4.2 \times 10^{4}\right) \)