851/VB02. problem / Math - Solved Math Problems

MR-851 / 1a. problem

Simplify the following expression:

$5^{0} + 3^{- 2} \cdot {(\frac{1}{9})}^{- 1}$

Source: Vene T. Bogoslavov: Collection of Solved Problems #2 - 1.a.)

Algebra → Exponents → Powers

$5^{0} + 3^{- 2} \cdot {(\frac{1}{9})}^{- 1}$

$= 1 + \frac{1}{3^{2}} \cdot {(\frac{9}{1})}^{1}$

$= 1 + \frac{1}{9} \cdot \frac{9}{1}$

$= 1 + 1$

$= 2$