Properties of Exponents 

Product of Powers Property

For all real numbers a, b, and c,

a^b × a^b= a^{(b +c)}

Quotient  of Powers Property

For all real numbers a, b, and c,

a^b ÷ a^c= a^{(b − c)}

Power of a Product Property

For all real numbers a, b, and c,

a^c × b^c= (ab)^c

Negative Exponents Property

For all real numbers a, b, and a ≠0,

a ^{− b} = 1/ (a^b)

Zero Exponents

For all real numbers a, and a ≠0,

a ^{− b} = 1/ (a^b)

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