CALCULATOR
Quotient of Two Powers with the Same Positive Base Calculator
Quotient of Two Powers with the Same Positive Base. Example: Base: 2 number, Numerator power: 2 number, Denominator power: 1 number gives 2 number. One positive dimensionless common base and two real exponents-2..2. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
One positive dimensionless common base and two real exponents-2..2. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Powers defined by exponentials; division subtracts exponents.
Accepted inputs: Base: 0.1 to 10 number; Numerator power: -2 to 2 number; Denominator power: -2 to 2 number.
How the calculation works
a^m/a^n=a^(m-n)
Worked example
With base 2 number, numerator power 2 number, denominator power 1 number, quotient of two powers with the same positive base is 2 number.
Assumptions and limits
One positive dimensionless common base and two real exponents-2..2. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Powers defined by exponentials; division subtracts exponents.