What is 468(1+(0.033)/6)^{-0.1} ?

The solution to 468(1+(0.033)/6)^{-0.1} is (468*2000^{0.1})/(2011^{0.1)}

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simplify 468(1+(0.033)/6)^{-0.1}

simplify

468 (1 + \frac{0.033}{6})^{- 0.1}

\frac{468 \cdot 200 0 ^{0.1}}{201 1 ^{0.1}}

Decimal Notation

467.74337 \dots

Solution steps

468 (1 + \frac{0.033}{6})^{- 0.1}

Apply exponent rule:

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

(1 + \frac{0.033}{6})^{- 0.1} = \frac{1}{( 1 + \frac{0.033}{6} ) ^{0.1}}

= 468 \cdot \frac{1}{( 1 + \frac{0.033}{6} ) ^{0.1}}

(1 + \frac{0.033}{6})^{0.1} = \frac{201 1 ^{0.1}}{200 0 ^{0.1}}

= 468 \cdot \frac{1}{\frac{201 1 ^{0.1}}{200 0 ^{0.1}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= 468 \cdot \frac{200 0 ^{0.1}}{201 1 ^{0.1}}

468 \cdot \frac{200 0 ^{0.1}}{201 1 ^{0.1}} = \frac{468 \cdot 200 0 ^{0.1}}{201 1 ^{0.1}}

= \frac{468 \cdot 200 0 ^{0.1}}{201 1 ^{0.1}}

(((m^{- 1})^{2})^{- 1})^{3}

(5 x^{3}) (9 x^{3})

(7)^{\frac{4}{3}}

1200 (0.8)^{- 2}

What is 468(1+(0.033)/6)^{-0.1} ?
The solution to 468(1+(0.033)/6)^{-0.1} is (468*2000^{0.1})/(2011^{0.1)}