evaluate the exponential function at the specified value of x

f(x)=4

^{x}, x= -4evaluate the exponential function at the specified value of x

f(x)=4^{x}, x= -4

Tutors, please sign in to answer this question.

Newark, DE

Hey Carlos

You need to think about the rules for exponents. Is there any that tells you how to deal with negative exponents?

Here is a way to think about it. For positive exponents you could write x^n = x*x^(n-1), as long as n is greater than 0. This can be rewritten as: x^(n-1) = (x^n)/x, as long as x is not 0. Now suppose n is 0, and the rule gives us: x^(-1) = x^(0)/x. Since x^0 is 1, this means x^(-1) = 1/x. If we assume this holds as long as n is an integer(positive or negative) and x is not 0, then we have that x^(-2) = x^(-1)/x = ([x^0]/x)/x =(1/x)/x = 1/x^2, and in general x^(-n) = 1/(x^n). Then in your case, 4^(-4) = 1/(4^4).

From here just multiply to find: 1/(4*4*4*4)=?

Hope this is helpful,

Jose

Olney, MD

f(x) = 4^{x}

f(x=4) = 4^{4} = 4*4*4*4 = ??

Kevin S.

Personalized Tutoring Services

Brooklyn, NY

5.0
(231 ratings)

Jing X.

IVY-graduate specializing in SAT, ACT, Math and College App

Brooklyn, NY

4.9
(77 ratings)

Steven M.

Premium Test Prep and Subject Tutor - New York City UWS

New York, NY

5.0
(258 ratings)

- Exponential Growth 93
- Exponential Decay 44
- Precalculus 1483
- Math Help 5220
- Algebra 4928
- Logarithmic Functions 89
- Word Problem 4965
- Logarithms 349
- Exponents 186
- Exponential Equations 43

## Comments