Things to Learn

  • Know how to take powers of powers
  • Know that when a product is raised to a power, each factor of the product is raised to that power.
  • Write simplified, equivalent numeric, and symbolic expressions using this new knowledge of powers.

Explore Powers of Powers

Power Rules
[shc_shortcode class=”shc_mybox”]For any number `x` and any positive integers `m` and `n`,
`(x^m)^n = x^(nm)`[/shc_shortcode]

Exercise and Practice(PDF printable)

Explore the Distribution of Exponents

Distribution of Exponents
[shc_shortcode class=”shc_mybox”]For any numbers `x` and `y`, and positive integer `n`,
`(xy)^n = x^n*y^n`[/shc_shortcode]

Before You Go