AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Simplify. Assume all variables are positive.Write your answer in the form or , where and are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.______
Full solution
Q. Simplify. Assume all variables are positive.Write your answer in the form or , where and are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.______
- Write Quotient Rule Application: Write down the expression and apply the quotient rule for exponents.The quotient rule states that when dividing like bases, you subtract the exponents.Expression:
- Simplify Denominator with Product Rule: Simplify the denominator using the product rule for exponents. The product rule states that when multiplying like bases, you add the exponents. Denominator:
- Rewrite Expression with Simplified Denominator: Rewrite the expression with the simplified denominator.Expression:
- Apply Quotient Rule to Expression: Apply the quotient rule for exponents to the expression.Subtract the exponents: Expression:
- Rewrite Expression with Positive Exponent: Since we want positive exponents, rewrite the expression with a positive exponent.To make the exponent positive, we can take the reciprocal of the base.Expression:
- Check Final Expression: Check the final expression to ensure it meets the requirements.The final expression is in the form , where is and is , and there are no variables in common in the numerator and denominator. All exponents are positive.
