Powers and Roots Study Guide
Solve for variables!
Look at your bell ringers.
Parts:
Examples:
x2 = 64
y3 = 729
√121 = m
3
√512= k
3
13
√64
Name: _________________
Class Period: ____________
3
Three forms of writing numbers:
Exponent
Expanded
Standard
74
7x7x7x7
2, 401
Between two integers:
√25 < √32 < √36
5 < √32 < 6
Rational Approximations:
Square the numbers to find
which is closer.
Example:
Which is closer to the square
root of 5, 2.2 or 2.3?
Area Models/ Representations:
= 42
= 43
2.22 = 4.84
2.32 = 5.29
Therefore, 2.2 is closer to the
square root of 5.
Finding volume or a side length:
V=s3
If the volume of a cube is 64, what is one of it’s side lengths?
64=s3
4=s
(Take the cube root of 64.)
(4 x 4 x 4 = 64)
One of the side lengths is 4 units.