25 1/2 - THANGARAJ MATH
Unit 3: Chapter 6.5 – Rational Exponents
1 |2 |3 |4 |5 |6 |7 |8 |9 |10 | |2 |4 |8 |16 |32 |64 |128 |256 |512 |1024 | |3 |9 |27 |81 |243 |729 | | | | | |4 |16 |64 |256 |1024 | | | | | | |5 |25 |125 |625 | | | | | | | |6 |36 |216 |1296 | | | | | | | |7 |49 | | | | | | | | | |8 |64 | | | | | | | | | |9 |81 | | | | | | | | | |10 |100 |1000 |10000 |100000 | | | | | | |
Example 1: Evaluate without a calculator
a) 81 1/2
b) (-8)1/3
c) 32 1/5
d) 0.04 1/2
Example 2: Evaluate without a calculator.
a) 32 4/5
b) 4 3/2
c) (-625)2/3
Example 3: Scientists use the formula D=0.099M 9/10 to give the drinking rate, D litres per day, for a mammal with mass M kilograms.
a) Rewrite the equation using radicals.
b) Determine the drinking rate of a 350 –kg horse.
Example 4: Solving for the Base in a Power
Solve for x. Assume x is positive.
a) x5 = 64
b) x 1/3 = 2
c) x 4/3 = 16
d) x 5/3 = 17
Homework: pg 376 #1c,d; 2c,d; 3c,d; 4c,d; 5c,d; 6e-h; 8,10,14
25 1/2
36 1/2
100 1/2
4 1/2
9 1/2
27 1/3
8 1/3
625 ¼
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