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If a factor is repeated multiple instances, then the product may be written in exponential forman equivalent expression written the use of a rational exponent. X n . The advantageous integer exponent n shows the wide variety of instances the base x is repeated as a element. In wellknown, this describes the product rule for exponentsxm⋅xn=xm n ; the made from expressions with the equal base can be simplified with the aid of adding the exponents. . If m and n are fine integers, then.

This describes the quotient rule for exponentsxmxn=xm−n ; the quotient of two expressions with the identical base may be simplified by means of subtracting the exponents. . If m and n are advantageous integers and x≠0 , then. Expanding the expression the usage of the definition produces multiple elements of the bottom, that is quite bulky, specifically when n is huge. For this reason, we can develop a few useful policies to assist us simplify expressions with exponents. In this situation, word that we may want to obtain the identical result via including the exponents.