6.1 Using Properties of Exponents
3
25 ⋅ 23 = ______________________
( )
(34 )2 = _______________________
( 3x )
3−2 = _________________________
(3x 3y 100z −10 )0 = ________________
512
= _________________________
54
 5
 10  = _______________________
 
5
8
 
52
= ________________________
2
= _______________________
3
−3
= _______________________
3
 a2 
 −3  = _____________________
b 
−3
9
( −2 ) ⋅ ( −2 )
(xy )4
xy −1
= _________________
= _______________________
rs 2
3
(rs )
−1
= _____________________
(102 )4 ⋅ (10 −2 ) = ___________________
3
 a 2b 
 −1 5  = __________________
a b 
( −y 2 )5(y 2 )(y −12 ) = ________________
5x 5y 4
= ___________________
15x −2y 3
 9−3 x 9y −1 
 6−4 y 7  = ____________________


8
Comparing Real Life Volumes
The radius of the sun us about 109 times as great as the Earth’s radius. How many times
as great as the Earth’s volume is the sun’s volume ? Express your final answer in scientific
notation.
4
Hint: The volume of a sphere is V = π r 3
3
Using Scientific Notation in Real Life
In 1997 Denmark had a population of 5,284,000 and a gross domestic product (GDP) of
$131,400,000,000. Estimate the per capita GDP of Denmark.
The table shows the surface areas and average depths of four oceans. Calculate the
volume of each ocean by multiplying the surface area of each ocean by its average depth.
Write your answers in scientific notation.