Question

Write the expression as a number in scientific notation.

the quantity 3.6 times ten to the fifth power end quantity times the quantity 1.5 times ten to the negative eighth power end quantity all divided by the quantity 2.5 times ten to the negative fourth power end quantity

2.6 × 107
2.16 × 101
2.16 × 10−1
2.6 × 10−7

1. The expression is written as a number in scientific notation as 2.16 × 10^1. Option B

### What is scientific notation?

Scientific notation can be described as a form of expressing or representing  large numbers or very small numbers in a more simpler form.
It is also called index form or standard form.
From the information given, we have;
• 3.6 times ten to the fifth power = 3. 6 × 10^5
• 1.5 times ten to the negative eighth power = 1. 5 × 10^8
• 2.5 times ten to the negative fourth power = 2. 5 × 10^4
Now, let’s substitute the values
3. 6 × 10^5 ×  1. 5 × 10^8/2. 5 × 10^4
Multiply the decimals and add the powers
5. 4 × 10^5/2. 5 × 10^4
Divide the values and subtract the powers, we get
2. 16 × 10^5-4
2. 16 × 10^1
Hence, the value is 2. 16 × 10^1