What does it mean to take positive rational numbers to whole

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SUMMARY

The discussion focuses on the mathematical operation of raising positive rational numbers to whole number powers. Specifically, it clarifies that for any positive rational number expressed as a fraction (a/b), the operation can be performed using the formula (a/b)^n = a^n / b^n, where n is a positive integer. An example provided is (1/2)^3, which illustrates this concept effectively. The discussion emphasizes the importance of understanding the properties of exponents in relation to rational numbers.

PREREQUISITES
  • Understanding of positive rational numbers
  • Basic knowledge of exponents and powers
  • Familiarity with fraction operations
  • Ability to perform arithmetic with whole numbers
NEXT STEPS
  • Study the properties of exponents in depth
  • Practice operations with rational numbers and whole number powers
  • Explore examples of raising fractions to different powers
  • Learn about the implications of exponentiation in algebraic expressions
USEFUL FOR

Students learning algebra, mathematics educators, and anyone interested in understanding the manipulation of rational numbers and exponentiation.

jim1174
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How do you do it
 
Mathematics news on Phys.org
jim1174 said:
How do you do it
I don't know what you're asking. Don't try to put the whole question into the title.
 
I need to know how to take positive rational numbers to whole number powers
 
jim1174 said:
I need to know how to take positive rational numbers to whole number powers

Do you mean like what is, for example, (1/2)3?

In general, (a/b)n = an / bn, where a,b are real numbers, b ≠ 0, and n is a positive integer.
 

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