Review of Introductory Mathematics EXPONENTSRule 4: Any exponential number divided by itself is equal to one.a^{n}a^{n}1Rule 5: To raise a product to a power, raise each factor to that power.(ab)^{n} = a^{n}b^{n}This arises from the associative law for multiplication, that is, order of multiplication does notalter the product.Example:(ab)^{2} = (a x b) x (a x b) = (a x a) (b x b) = a^{2} x b^{2}If doubt exists in the student’s mind, try multiplying (2 x 3)^{2} out in different orders. All orderswill yield 36.Rule 6: To raise a quotient to a power, raise both the numerator and denominatorto that power.abna^{n}b^{n}Example:To demonstrate this, consider3221.5^{2}2.252^{1}494But , the same value.3^{2}2^{2}94Rev. 0 Page 63 MA-01

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