According to the property, the common exponent on the division of numbers can be equally distributed among the numerator and denominator.

Power of quotient property. Learn how to use this property with the help of some examples. The quotient of powers property works with the basic definition of exponents because the number of times that the base is multiplied is. Suppose you're dividing two expressions with the same exponent, but different bases.

Simplify expressions with exponents equal to zero; If and are real numbers, , and is a counting number, then: Quotient to a power property for exponents:

To raise a fraction to a power, raise the numerator and denominator to that power. When you multiply two powers with the same base, you add the exponents. 9.3 quotient of powers property.

The quotient of powers rule assists with simplifying exponents. According to the definition, {eq}n^a {/eq} is being divided by. If and are real numbers, , and is a counting number, then:

So when you divide two powers with the same base, you subtract the exponents. Numerical example 37 32 = 37 −2= 35. 2 4 and 5 4 are two exponential terms in which the exponents are same but their bases are different.

Exponents and division the quotient of powers property. Simplify quotients raised to a power. This is similar to the power of a product property.