Concept explainers
In Exercises 1–6, use the rules of exponents to simplify the following expressions and remove all zero and negative exponents. Assume that all variables are nonzero.
1.
To simplify: The expression
Answer to Problem 1TE
The positive exponent form of the expression
Explanation of Solution
Property used:
Zero and negative exponents.
For
1.
2.
3.
4.
Calculation:
The given expression is
The expression
Therefore, the positive exponent form of the expression
Want to see more full solutions like this?
Chapter 3 Solutions
18 WEEK MY MATHLAB
- In Exercises 9–12, the given expressions are designed to yield results expressed in a form of scientific notation. For example, the calculator-displayed result of 1.23E5 can be expressed as 123,000, and the result of 1.23E-4 can be expressed as 0.000123. Perform the indicated operation and express the result as an ordinary number that is not in scientific notation. 0.312arrow_forwardProve the general formulaarrow_forwardIn the expansion of (x + y)31, write the value of the exponent k in the term that contains x3+kykarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt