simplify 0.1*3^{-5}

Solution

simplify

0.1 \cdot 3^{- 5}

\frac{1}{2430}

Decimal Notation

0.00041 \dots

Solution steps

0.1 \cdot 3^{- 5}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

3^{- 5} = \frac{1}{3 ^{5}}

= 0.1 \cdot \frac{1}{3 ^{5}}

3^{5} = 243

= 0.1 \cdot \frac{1}{243}

0.1 = \frac{1}{10}

= \frac{1}{10} \cdot \frac{1}{243}

\frac{1}{10} \cdot \frac{1}{243} = \frac{1}{2430}

= \frac{1}{2430}

\frac{3}{4} \cdot \frac{3}{4}

v (u v^{2}) (u^{3} v)

f (t) e^{- a t}

\frac{b + 2}{b}

0.5 \cdot 560 e^{- 250}