Help

- Watch and Read
- - Let's Start Thinking
  - Primary Exponent Rules (Product, Quotient, and Power of a Power)
  - Including Integer Bases and Exponents
  - Including Rational Exponents
  - Exponent Rules All Together
  - Wrap-Up
  - Alternative Format
- Review
- - Check Your Understanding 1
  - Check Your Understanding 2
  - Check Your Understanding 3
- Practise
- - Exercises
  - Answers
  - Solutions

Let's Start Thinking

Exponent Laws All Together

Exponent Rules

In this lesson, we are going to put together all of the exponent rules that we have looked at so far.

product rule,
quotient rule,
power of a power rule,
integer exponents, and
rational exponents.

Why is this important?

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Lesson Goals

Simplify algebraic expressions.
Evaluate numerical expressions.

Try This

Simplify \(\sqrt[4]{\dfrac{(10x^3)^4}{(10x^6)^{-1}}}\).

What exponent rules are involved in the simplification of this question? In what order would you use these rules?

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