The Number System

To understand exponents and surds, you need to revise the number system thoroughly.

•   Natural Numbers ℕ

•   Whole Numbers ℕ₀

•   Integers ℤ

•   Rational Numbers ℚ

•   Irrational Numbers ℚ'

•   Real Numbers ℝ

•   Non-Real Numbers

Surds

You must be able to work with n-th roots and be able to identify surds.

•   Multiply n-th Roots

•   Divide n-th Roots

•   Add and Subtract n-th Roots

•   Simplify fractions by Rationalising the Denominator

Exponents

You must be able to work with exponents.

•   Know the Laws of Exponents

•   Write numbers in exponential form

•   Write numbers as a product of its Prime Factors

•   Simplify Algebraic Expressions with Exponents

•   Simplify Algebraic Fractions with Exponents

Exponential Equations

You must be able to Solve Exponential Equations.

•   Equations where x is part of the Exponent

•   Equation with a Rational Exponent

•   Exponential Equations with Surds

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Exponents and Surds

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