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Example
3 4
2 8 3 8
3 7
5 4
27
2
( 2 )
7 2
4
2
54
6
x y
x y x y
x y
x y
yz
z
Simplify Exponential Expressions
nIn a × 10 change a number in scientific notation
to decimal notation by moving the decimal point in
a to the right if n is positive, and move the decimal
point to the left if n is negative, n number of places.
Converting from Scientific to Decimal Notation
Example Convert from decimal notation to scientific notation.
56,000,000
4,090,000
0.0000067
0.00000.36
Example
6 8
7
3
7.3 10 8.0 10
4.8 10
3.0 10
Perform the indicated operations and write your answer in scientific notation.
Example
In 2008, Congress proposed a 700 billion dollar bailout (7 x 1011) of the US banking system. If there are 300 million people in the US, what will be the cost per person in tax dollars if every person paid an equal amount of this bailout cost?
Simplify the exponential expression
(a)
(b)
(c)
(d)
25 3
2 4
30
15
x y
x y
6 14
6 7
6 14
3 7
4
4
4
2
x y
x y
x y
x y