857/VB02. problem / Math - Solved Math Problems

MR-857 / 3a. problem

Simplify the following expression:

$2^{- 4} \cdot {(\frac{1}{4})}^{- 2}$

Source: Vene T. Bogoslavov: Collection of Solved Problems #2 - 3.a.)

Algebra → Exponents → Powers

$2^{- 4} \cdot {(\frac{1}{4})}^{- 2}$

$= \frac{1}{2^{4}} \cdot {(\frac{4}{1})}^{2}$

$= \frac{1}{16} \cdot \frac{16}{1}$

$= \frac{16}{16}$

$= 1$