# Negative Exponents and Scientific Notation

```Negative Exponents and
Scientific Notation
4.8
Quick Check Exercises
The following exercises are similar to those in the video section. Work
these exercises on your own to test your understanding of the material.
2b −2
. Do not use negative exponents in the answer.
a −12
1. Simplify:
2. Convert 5,200,000 to scientific notation.
(
)(
)
3. Multiply 2.3 &times; 107 1.2 &times;10−3 and write scientific notation for the result.
Negative Exponents and
Scientific Notation
4.8
Quick Check Exercise Solutions
2b −2
. Do not use negative exponents in the answer.
a −12
1. Simplify:
Solution:
2b −2 2a12
= 2
a −12
b
2. Convert 5,200,000 to scientific notation.
Solution: 5, 200, 000 = 5.2 &times; 10m
To write 5.2 as 5,200,000, we move the decimal point 6 places to the right.
Thus, m is 6 and 5, 200, 000 = 5.2 &times;106 .
(
)(
)
3. Multiply 2.3 &times; 107 1.2 &times;10−3 and write scientific notation for the result.
Solution:
( 2.3 &times;10 )(1.2 &times;10 )
= ( 2.3 &times; 1.2 ) &times; (10 &times; 10 )
−3
7
7
= 2.76 &times; 104
−3
```