Kuta software infinite algebra 1 more properties of exponents

This leads to another rule for exponents—the Power Rule for Exponents. To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (2³)⁵ = 2¹⁵. For any positive number x and integers a and b: (x^a)^b= x^{a· b}.

A negative exponent is defined as the multiplicative inverse of the base, raised to the power which is of the opposite sign of the given power. In simple words, we write the reciprocal of the number and then solve it like positive exponents. For example, (2/3)^-2 can be written as (3/2)².