August 23, 2012
Lesson 1.5
Exponents, Roots, and Order of Operations
An expression made up of a base and an
exponent is called a power.
5 is the base and 6 is the exponent.
We say "5 to the 6th power".
Evaluate each.
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August 23, 2012
a is a square root of b if and only if
a•a=b
Every positive number has two square roots, a
positive root and a negative root.
Negative numbers have no real-number square root.
is the radical symbol. This
resresents the positive, or principal,
square root of a number.
Name the square roots of each.
Evaluate each radical (square root).
What about
0.4 ?
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August 23, 2012
Order-of-Operations agreement
Perform operations in the following order:
1. Within grouping symbols:
What are they?
2. Evaluate exponents & roots from left to right.
3. Evaluate multiplication and division from left to right.
4. Evaluate multiplication and division from left to right.
Simplify.
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August 23, 2012
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