7­4 Day 1 Rational Exponents
February 09, 2009
7­4 Day 1
Rational Exponents
Objectives:
Convert between rational exponents and radical form.
Use rational exponents to solve real world situations.
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7­4 Day 1 Rational Exponents
February 09, 2009
Check Skills You'll Need
Simplify:
1. 2­4
2. (3x)­2
3. (5x2y)­3
4. 2­2 + 4­1
5. (2a­2b3)4
6. (4a3b­1)­2
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7­4 Day 1 Rational Exponents
February 09, 2009
power
root
m
n
x
base
m
n
x
25
3
4
=
n
x
m
= 25½
1
3
27
= 27
16
= 16 ¼
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7­4 Day 1 Rational Exponents
February 09, 2009
x¾ = ∜x3
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7­4 Day 1 Rational Exponents
February 09, 2009
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7­4 Day 1 Rational Exponents
February 09, 2009
Write the exponential expressions in radical form.
x
5
3
y0.4
z ­¼
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7­4 Day 1 Rational Exponents
February 09, 2009
Write the radical expressions in exponential form.
√a
3
5
2
(√ b)
(√y)3
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7­4 Day 1 Rational Exponents
February 09, 2009
Space Travel
Bone loss for astronauts on lengthy space voyages may be prevented with a bedlike apparatus that rotates to simulate the effect of gravity. In the formula
N = a0.5
2πr0.5
N is the rate of rotation in revolutions per second, a is the simulated acceleration in m/s2 , and r is the radius of the apparatus in meters. How fast would an apparatus with a radius of 1.7 m have to rotate in simulate the acceleration of 9.8 m/s2 that is due to Earth's gravity?
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7­4 Day 1 Rational Exponents
February 09, 2009
Calculate the rate of rotation needed for the apparatus to simulate a gravitational acceleration half as strong as Earth's.
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7­4 Day 1 Rational Exponents
February 09, 2009
Homework:
pg. 388
# 10­29
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