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8.1 Law of Exponents

TermDefinition
Write in expanded form, Write out using multiplication Ex: 5^3= 5x5x5
Write in exponential form, Write using a base and an exponent Ex: 5x5x5=5^3
Write in standard form, Multiply to find the answer Ex: 5^3=125
Multiply Powers with Like Bases keep the base & add the exponents a^m * a^n = a^m+n, a^2 * a^3 = a^2+3 = a^5
Divide Powers with like bases Keep the base and subtract the exponents a^m / a^n=a^m-n 3^4 / 3^2 =3^4-2 = 3^2
Raise a power to a power To raise a power to a power, multiply the exponents. a^m^n= a^m*n a^2^3= a^2*3= a^6
To raise a monomial to a power Keep the bases and multiply all exponts by the exponent outside the parentheses
Raise a fraction to a power to raise a fraction to a power, raise the numerator and denominator to the power
Multiply Monomials multiply the coefficients and add the exponents
Divide Monomials divide the coefficients and subtract the exponents
negative exponent an exponent less than zero which causes the base and its exponent to move positions in a fraction x^-2 = 1/x^2
Power of 0 equals 1
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