858/VB02. problem / Math - Solved Math Problems

MR-858 / 3b. problem

Simplify the following expression:

$2^{- 4} \cdot 0, 1^{- 4}$

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

Algebra → Exponents → Powers

$2^{- 4} \cdot 0, 1^{- 4}$

$= \frac{1}{2^{4}} \cdot {(\frac{1}{10})}^{- 4}$

$= \frac{1}{16} \cdot {(\frac{10}{1})}^{4}$

$= \frac{1}{16} \cdot \frac{10000}{1}$

$= \frac{10000}{16}$

$= \frac{5000}{8}$

$= \frac{2500}{4}$

$= \frac{1250}{2}$

$= 625$