Lesson 255 of 1524
5.1 Properties of Exponents
To simplify, the exponential terms are added and the same base is kept.
Practice this chapterTo simplify, the exponential terms are added and the same base is kept. You also learned how to use the Quotient Property for Exponents to rewrite division problems involving exponential terms with the same base.
To simplify those, the exponential terms are subtracted and the same base is kept To simplify an expression with a negative exponent, the reciprocal of the base is used and the sign of the exponent is flipped
Power Property for Exponents — used when an exponential expression is raised to another power. reciprocal of the base — used and the sign of the exponent is flipped. exponential terms — added and the same base is kept.
Be able to simplify expressions using different properties for exponents; simplify expressions containing exponents of zero; use the definition of a negative exponent to simplify expressions.
Worked example
What does “Power Property for Exponents” mean in 5.1 Properties of Exponents?
- 1Use the wording this chapter gives for Power Property for Exponents.
- 2The book says: used when an exponential expression is raised to another power.
- 3Do not use the meaning of reciprocal of the base. That term means used and the sign of the exponent is flipped.
Result: used when an exponential expression is raised to another power
Why. That is the meaning this chapter gives for Power Property for Exponents.
Do not swap Power Property for Exponents and reciprocal of the base. Power Property for Exponents means used when an exponential expression is raised to another power. reciprocal of the base means used and the sign of the exponent is flipped.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.