Question

Which of the following represents 1/16 x 1/8 using exponential notation?

$1. (2^-4)(2^-3)\\\\2. (2^4)(2^-3)\\\\3. (2^4)(2^3)\\\\4. (2^-4)(2^3)$

Answer 1

Answer:

$\large\boxed{(2^{-4})(2^{-3})}$

Step-by-step explanation:

We know:

$a^{-n}=\dfrac{1}{a^n}$

Therefore

$\dfrac{1}{16}=\dfrac{1}{2^4}=2^{-4}\\\\\dfrac{1}{8}=\dfrac{1}{2^3}=2^{-3}$

$\dfrac{1}{16}\cdot\dfrac{1}{8}=2^{-4}\cdot2^{-3}$