CALCULATOR
Power of a Positive Power Calculator
Power of a Positive Power. Example: Base: 2 number, Inner power: 2 number, Outer power: 1.5 number gives 8 number. Positive dimensionless real base; both powers bounded-2..2; no negative or complex bases. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
Positive dimensionless real base; both powers bounded-2..2; no negative or complex bases. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Positive real powers defined by exp(exponent ln(a)); nested multiplication of exponents.
Accepted inputs: Base: 0.1 to 10 number; Inner power: -2 to 2 number; Outer power: -2 to 2 number.
How the calculation works
(a^b)^c=a^(bc) for a>0
Worked example
With base 2 number, inner power 2 number, outer power 1.5 number, power of a positive power is 8 number.
Assumptions and limits
Positive dimensionless real base; both powers bounded-2..2; no negative or complex bases. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Positive real powers defined by exp(exponent ln(a)); nested multiplication of exponents.