Math 110 Algebra - Fall 2018 - Linda Green
Math 110 Algebra - Fall 2018
EXPONENTS
Exponents
After completing this section, students should be able to:
? Explain the product rule, quotient rule, and power rule for exponentiation by
writing out powers of a variable as repeated multiplication.
? Rewrite expressions with negative exponents so that all exponents are positive.
? Use the product rule, quotient rule, and power rule to simplify exponential expressions.
? Decide whether equations involving exponents are always true or not by testing
examples.
? Rewrite fractional exponents in terms of radicals.
? Calcuate numbers raised to fractional exponents without a calculator.
2
EXPONENTS
Here are the exponent rules:
1. The Product Rule
2. The Quotient Rule
3. The Power Rule
4. Power of Zero
5. Negative Exponents
6. Fractional Exponents
7. Distribute an Exponent over a Product
8. Distribute an Exponent over a Quotient
3
EXPONENTS
Example. Simplify the following expressions and write your answers without negative
exponents:
4y3
(b) ?5
y
3x?2
(a) 4
x
4
EXPONENTS
Example. Simplify the expression and write your answer without negative exponents:
y3z5
7z?2 y7
5
................
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