What is 2^{-3}0.4^{-9} ?

The solution to 2^{-3}0.4^{-9} is 1953125/4096

Popular >

simplify 2^{-3}0.4^{-9}

simplify

2^{- 3} 0. 4^{- 9}

\frac{1953125}{4096}

Decimal Notation

476.83715 \dots

Solution steps

2^{- 3} \cdot 0. 4^{- 9}

2^{- 3} = \frac{1}{8}

= \frac{1}{8} \cdot 0. 4^{- 9}

Apply exponent rule:

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

0. 4^{- 9} = \frac{1}{0. 4 ^{9}}

= \frac{1}{8} \cdot \frac{1}{0. 4 ^{9}}

0. 4^{9} = 0.000262144

= \frac{1}{8} \cdot \frac{1}{0.000262144}

Divide the numbers:

\frac{1}{0.000262144} = 3814.69726 \dots

= \frac{1}{8} \cdot 3814.69726 \dots

3814.69726 \dots = \frac{1953125}{512}

= \frac{1}{8} \cdot \frac{1953125}{512}

\frac{1}{8} \cdot \frac{1953125}{512} = \frac{1953125}{4096}

= \frac{1953125}{4096}

\frac{1}{2} e^{- \frac{1}{4}}

e^{- 3 t} (2 cos (- 3 sin (x)))

e^{- 1.55}

(23) (37)

(64)^{p + q}