Question

Given that a"> = 7, find the value of $4^x^-^1$.

Answer 1

Answer:

$\dfrac{49}{4} = 12.25$

Step-by-step explanation:

$4^{x-1} =$

$= (2^2)^{x - 1}$

$= 2^{2(x - 1)}$

$= 2^{2x - 2}$

$= 2^{x + x - 2}$

$= 2^x \times 2^x \times 2^{-2}$

$= 7 \times 7 \times \dfrac{1}{2^2}$

$= \dfrac{49}{4} = 12.25$