Question

What are the rules for exponents with the same base?

Accepted Answer

$$x^a \cdot x^b = x^{a+b}$$    

$$x^a ÷ x^b = x^{a-b}$$    

$$x^{-a} = \frac{1}{x^a}$$    

$$(x^a )^b = x^{a \cdot b}$$    

$$x^0 = 1\;if\;x ≠ 0$$    

$$x^{\frac{1}{a}} = \sqrt[a]{x}$$

Flashcard 1 - Math Flashcard Set for the ACT

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