Simplify. Assume all variables are positive. d^(5/4)/(d^(5/4) * d^(7/4)) Write your answer in the form A or A/B, where A and B are constants or variable expressions that have no variables in common. All exponents in your answer should be positive. ______

Question

Simplify.  Assume all variables are positive. d^(5/4)/(d^(5/4) * d^(7/4))   Write your answer in the form A or A/B, where A and B are constants or variable expressions that have no variables in common. All exponents in your answer should be positive. ______

Bytelearn · Accepted Answer

Identify Expression: Identify the expression to simplify. We have the expression d^(5/4) / (d^(5/4) * d^(7/4)). We need to simplify this expression by combining the exponents in the denominator and then dividing the numerator by the simplified denominator.Combine Exponents: Combine the exponents in the denominator using the property of exponents that states a^(m) * a^(n) = a^(m+n). d^(5/4) * d^(7/4) = d^(5/4 + 7/4) = d^(12/4) = d^3.Rewrite Expression: Rewrite the original expression with the simplified denominator. The expression now becomes d^(5/4) / d^3.Simplify Exponents: Simplify the expression by subtracting the exponents in the denominator from the exponent in the numerator using the property a^(m) / a^(n) = a^(m-n). d^(5/4) / d^3 = d^(5/4 - 12/4) = d^(-7/4).Rewrite with Positive Exponent: Since we want all exponents to be positive, we can rewrite the expression with a positive exponent by using the property a^(-n) = 1/a^n. d^(-7/4) = 1/d^(7/4).

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