Multiply. Write the answer in scientific notation. $$ \left(8.5 imes 10^{12} ight)\left(6.7 imes 10^{9} ight)=\square $$

Question

Multiply. Write the answer in scientific notation. $$ \left(8.5 	imes 10^{12}ight)\left(6.7 	imes 10^{9}ight)=\square $$

UpStudy AI · Accepted Answer

To multiply the two numbers in scientific notation:

$$
\left(8.5 \times 10^{12}\right) \times \left(6.7 \times 10^{9}\right)
$$

**Step 1: Multiply the coefficients (the numerical parts).**

$$
8.5 \times 6.7 = 56.95
$$

**Step 2: Add the exponents of 10.**

$$
10^{12} \times 10^{9} = 10^{12 + 9} = 10^{21}
$$

**Step 3: Combine the results.**

$$
56.95 \times 10^{21}
$$

**Step 4: Convert to proper scientific notation** (where the coefficient is between 1 and 10).

$$
56.95 \times 10^{21} = 5.695 \times 10^{1} \times 10^{21} = 5.695 \times 10^{22}
$$

**Final Answer:**

$$
\boxed{5.695 \times 10^{22}}
$$
$$ 5.695 \times 10^{22} $$

Multiply. Write the answer in scientific notation. \( \left(8.5 \times 10^{12}\right)\left(6.7 \times 10^{9}\right)=\square \)