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Sunday, May 5, 2013

Algebraic Operations - Exponents

Category: Algebra

"Published in Suisun City, California, USA"

Simplify the expression and eliminate any negative exponents for



Solution:

Consider the given equation above



The first grouped term has an exponent which is 3. If you will cube the first grouped term, then the exponents of variables inside the parenthesis will be multiplied by 3 as follows





Since the exponents of both grouped terms are now equal to 1, then we can multiply the two fractions directly. Numerator times numerator and denominator times denominator. If you  multiply the two terms with the same variable, then their exponents will be added as follows







If you divide the two terms with the same variable, then their exponents will be subtracted as follows



Any number or any variable (except zero) raised to zero power is always equal to one. Since there's no y at the numerator, then the exponent of y at the numerator is equal to zero.  





In order to eliminate the negative exponents of b and y, we have to transfer the two terms in the denominator as follows



Therefore,