Question

Rewrite the function f(x)=4(1/3)^2x using properties of exponents

Answer 1

Step-by-step explanation:

Consider the provided function.

$f(x)=4(\frac{1}{3})^{2x}$

Apply exponent rule: $\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}$

$f(x)=4(\frac{1^2}{3^2})^x$

$f(x)=4(\frac{1}{9})^x$

Hence, the required function is $f(x)=4(\frac{1}{9})^x$

OR

If the function is $f(x)=4(\frac{1}{3})^2x$

Apply exponent rule: $\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}$

$f(x)=4(\frac{1^2}{3^2})x$

$f(x)=4(\frac{1}{9})x$

$f(x)=\frac{4x}{9}$

Hence, the required function is $f(x)=\frac{4x}{9}$

Answer 2

Answer:

f(x)=4($\frac{1}{9}$)^x

Step-by-step explanation: