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Exponents & Exponential Functions

A1.G.1Exponent properties01/05

Exponent properties — review.

Step01of 05

An exponent says "multiply the base by itself this many times": $2^{4} = 2 \cdot 2 \cdot 2 \cdot 2 = 16$ . Every exponent rule below comes from that one definition by counting copies.

Product of powers	→ $x^{a} \cdot x^{b} = x^{a + b}$
Quotient of powers	→ $\frac{x ^{a}}{x ^{b}} = x^{a - b}$
Power of a power	→ $(x^{a})^{b} = x^{a \cdot b}$
Power of a product	→ $(x y)^{a} = x^{a} y^{a}$

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A1.G.1 – A1.G.5 · CCSS N.RN.A.2 / N.RN.A.1 / F.LE.A.1c / F.LE.A.2 / F.LE.A.1·Full curriculum →