Simplify. Assume all variables are positive.b34⋅b31b34Write your answer in the form A or BA, where A and B are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.______
Q. Simplify. Assume all variables are positive.b34⋅b31b34Write your answer in the form A or BA, where A and B are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.______
Apply Properties of Exponents: Write down the expression and apply the properties of exponents.The expression is b34/(b34∗b31). According to the properties of exponents, when you multiply bases that are the same, you add the exponents.
Add Exponents in Denominator: Add the exponents of b in the denominator.The denominator becomes b(4/3+1/3) which simplifies to b5/3.So, the expression now is b4/3/b5/3.
Subtract Exponents: Subtract the exponents of b in the numerator and the denominator.According to the properties of exponents, when you divide bases that are the same, you subtract the exponents.b34/b35=b34−35=b−31.
Write Final Answer: Write the final answer with a positive exponent.Since we assume all variables are positive and we cannot have a negative exponent in the final answer, we write b(−1/3) as 1/b(1/3).
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