Simplify. Assume all variables are positive.r37⋅r38Write 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.r37⋅r38Write 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.______
Identify expression: Identify the expression to simplify.We have the expression r7/3×r8/3 and we need to simplify it.
Apply product rule: Apply the product rule for exponents.The product rule states that when multiplying like bases, we add the exponents: am×an=am+n.So, r37×r38=r37+38.
Perform addition: Perform the addition of the exponents.Add the fractions37 and 38.37+38=3(7+8)=315.
Simplify exponent: Simplify the exponent. 315 simplifies to 5.So, r315=r5.
Write final answer: Write the final answer.The simplified expression is r5.
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