What's the Quotient of Powers Rule?

What's the Quotient of Powers Rule?

Note:

Working with exponents can be lots of fun, as long as you understand how they work. In this tutorial you'll see how exponents add when you divide the same number raised to different exponents!

Keywords:

  • definition
  • property
  • powers
  • quotient
  • divide
  • exponents
  • quotient of powers
  • subtract powers
  • subtract exponents
  • subtract

Background Tutorials

  • Write and evaluate numerical expressions involving whole-number exponents.

  • Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.

      • Why Can't You Divide By 0?Why Can't You Divide By 0?

      Why Can't You Divide By 0?

      Why can't you divide by 0? This may be one of the most asked math questions. Get this question answered once and for all by watching this tutorial!

  • Know and apply the properties of integer exponents to generate equivalent numerical expressions.

      • What are Exponents?What are Exponents?

      What are Exponents?

      Did you know that another word for 'exponent' is 'power'? To learn the meaning of these words and to see some special cases involving exponents, check out this tutorial!

Further Exploration

  • Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + (r(x)/b(x)), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.