Exponents

Mixed expressions using exponent laws

Exponent notation with variable bases and negative powers

Expressions with rational bases and integer powers

Multiplication law with variable bases and negative powers

Division law with variable bases and integer negative powers

Power of a power with variable bases and negative powers

Products and quotients with variable bases and negative exponents

Expressions with rational variable bases and integer powers

Numerical bases with rational exponents

Rational bases with rational exponents

Rational exponents with algebraic terms

Exponential notation with integer and variable bases

Conversions between exponential and radical forms

Multiplication law with integer and variable bases

Division law with integer and variable bases

Power of a power with integer and variable bases

Zero power with with integer and variable bases

Simplify expressions using multiple exponent laws with integer and variable bases

Exponential notation with integer and variable bases and negative powers

Multiplication law with integer or variable bases and negative powers

Division law with integer or variable bases and integer negative powers

Power of a power with integer or variable bases and negative powers

Simplify expressions using multiple exponent laws with integer and variable bases and negative powers

Grade 12

Rational exponents with algebraic terms

Interactive practice questions

Express $\sqrt{x}$√x in exponential form.

Easy

< 1min

Simplify the following, giving your answer with a positive exponent: $\left(4a^4\right)^{\frac{1}{2}}$(4a4)12

Easy

1min

Express $\sqrt[6]{x}$⁶√x in exponential form.

Easy

< 1min

Express $\sqrt[3]{x^6}$³√x6 as a power of a power, then simplify.

Easy

< 1min

Outcomes

12CT.A.2.1

Simplify algebraic expressions containing integer and rational exponents using the laws of exponents (e.g., x^3/x^(1/2), sqrt(x^6 y^12))

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