The exponent in Sam’s product is -5.
What does a math exponent mean?
- When a number is multiplied by itself, it is said to have an exponent.
- For instance, 2 to the third (written as 23) indicates that 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent.
- A number raised to the power of one is itself, so keep that in mind.
Let us first multiply 500 with 3. 625×10-8
3. 625×10-8 × 500 = 1812.5 × 10⁻⁸
Then Sam has reported this answer in scientific notation
The format for writing a number in scientific notation is
(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).
In 1812.5 × 10⁻⁸ we move the decimal 3 times to left side
Since the decimal is moved left side, we multiply by 10³
1812.5 × 10⁻⁸ = 1812.5 × 10⁻⁸ × 10³
1812.5 × 10⁻⁸ = 1812.5 × 10⁻⁵
Exponent is a quantity representing the power to which a given number or expression is to be raised
1812.5 × 10⁻⁵ exponent is -5
Learn more about exponent
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