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Module contents
Introduction
· Exponent Rules – Whole Number Exponents
· Exponent Rules – Integer and Fraction Exponents
· Equations with Exponents
· Scientific Notation
· Operations with Numbers in Scientific Notation
Answers to activity questions
Outcomes
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·
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·
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Name the parts of a number written in exponential form.
Simplify exponents using rules.
Solve equations containing exponents.
Express numbers in scientific notation.
Perform operations with numbers in scientific notations.
Check your skills
This module covers the following concepts, if you can successfully answer these questions, you do
not need to do this module. Check your answers from the answer section at the end of the module.
1.
(a) Simplify:
(b) Simplify:
x ´ 4x ´ x
a ¸a
6
2.
3
(a) Simplify:
(x )
-2 2
3.
6
(x )
3 2
(b) Simplify:
4
æ ö
´ ç x ÷ ´ x0
è ø
1
2
(c) Simplify:
0
3
4
(c) Simplify:
2
6 3
( 27x y )
512
9
(a) Solve for x:
(b) Solve for x:
x = 81
34 x +1 = 7
4
´ 4 x4 ¸ ( 2 x2 )
(c) Solve for r:
V = p r3
4.
(a)
(b)
(c)
(d)
Write 634 000 000 in Scientific Notation
-5
Write 9.12 ´ 10 in Standard Notation
Write 0.000 000 55 in Scientific Notation
8
Write 7.25 ´ 10 in Standard Notation
5.
(a) Calculate 3.2 ´ 10 multiplied by 5.3 ´ 10
8
-12
(b) Calculate 2.8 ´ 10 divided by 7.2 ´ 10
8
-5
8
4
(c) Add 7.25 ´ 10 and 2.61´ 10
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[last edited on 13 July 2015] CRICOS Provider: 01241G