Simplify. Assume all variables are positive.d34⋅d34d34Write 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.d34⋅d34d34Write 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 Given Expression: Write down the given expression and identify the properties of exponents to use.The given expression is d34/(d34∗d34). We will use the properties of exponents to simplify the expression, specifically the quotient of powers property and the product of powers property.
Apply Product Property: Apply the product of powers property to the denominator.When multiplying powers with the same base, we add the exponents. So, we have:d34⋅d34=d34+34=d38.
Rewrite with Simplified Denominator: Rewrite the original expression with the simplified denominator.Now, the expression is:d34/d38.
Apply Quotient Property: Apply the quotient of powers property to simplify the expression.When dividing powers with the same base, we subtract the exponents. So, we have:d34/d38=d34−38=d−34.
Rewrite with Positive Exponent: Since we want the exponent to be positive, we can rewrite the expression with a positive exponent. d(−4/3) is the same as 1/d(4/3).
Final Answer Form: Write the final answer in the form A or BA.The final answer is in the form BA, where A=1 and B=d34.
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