Question

Rewrite the function f of x equals 7 times one half to the 3 times x power using the properties of exponents.

Answer 1

Answer:

f of x equals 7 times one eighth to the x power

Step-by-step explanation:

Given phrase,

function f of x equals 7 times one half to the 3 times x power,

$\implies f(x) = 7(\frac{1}{2})^{3x}$

By the power to power property of exponent,

That is,

$(a^m)^n=a^{m.n}$

$f(x) = 7((\frac{1}{2})^3)^x$

$f(x) = 7(\frac{1}{8})^x$

= f of x equals 7 times one eighth to the x power