The expression that is equal to exponential function [tex][f(b)]^c[/tex] is [tex]a^{bc}[/tex]
How to determine the equivalent expression?
The equation of the exponential function is given as:
[tex]f(x) = a^x[/tex]
Substitute b for x
[tex]f(b) = a^b[/tex]
Take the exponent of both sides to the power of c
[tex][f(b)]^c = (a^b)^c[/tex]
Apply the law of indices
[tex][f(b)]^c = a^{bc}[/tex]
Hence, the expression that is equal to exponential function [tex][f(b)]^c[/tex] is [tex]a^{bc}[/tex]
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