Question

Multiply (4.12 × 10−9)(8.3 × 1015). Write the final answer in scientific notation.

34.196 × 10−134
3.4196 × 107
3.4196 × 10−135
34.196 × 106

Omg, I'm just stuck on this question, please help loves

Answer 1

3.4196 × 107

Explanation:

Answer 2

`3.4196 * 10^(7)`

Explanation:

Given expression:

`(4.12 * 10^(-9))(8.3 * 10^(15))`

Remove the parentheses:

`\implies 4.12* 10^(-9) * 8.3 * 10^(15)`

Collect like terms:

`\implies 4.12 * 8.3 * 10^(-9) * 10^(15)`

Multiply the numbers 4.12 and 8.3:

`\implies 34.196 * 10^(-9) * 10^(15)`

`\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^(b+c):`

`\implies 34.196 * 10^((-9+15))`

`\implies 34.196 * 10^(6)`

Scientific notation is written in the form
`\boxed{a * 10^n}`

where
`1\leq a < 10` and
`n` is any positive or negative whole number.

To convert 34.196 × 10⁶ into scientific notation, move the decimal point to the left by one place and increase the power of 10 by 1:

`\implies 34.196 * 10^(6)=3.4196 * 10^(7)`