exponentiation /ˌɛk.spoʊˌnɛn.ʃiˈeɪ.ʃən/ noun2 •The process of calculating a power by multiplying together a number of equal factors, where the exponent specifies the number of factors to multiply.In 5⁴ the base is 5 and the power is 4, so there are 4 identical factors of 5, and exponentiation gives 625 as the result. •A mathematical problem involving exponentiation. formsexponentiations