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5 votes
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

2 Answers

1 vote

Answer:

3.4196 × 107

Explanation:

User Xzilla
by
5.9k points
5 votes

Answer:


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)

User NickSentowski
by
6.4k points
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