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Popular >

simplify 0.5*(2^{(-1023)})

Solution

simplify

0.5 \cdot (2^{(- 1023)})

Solution

\frac{1}{2 ^{1024}}

Solution steps

0.5 (2^{- 1023})

Apply rule:

(a) = a

(2^{- 1023}) = 2^{- 1023}

= 0.5 \cdot 2^{- 1023}

Apply exponent rule:

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

2^{- 1023} = \frac{1}{2 ^{1023}}

= 0.5 \cdot \frac{1}{2 ^{1023}}

0.5 \cdot \frac{1}{2 ^{1023}} = \frac{0.5}{2 ^{1023}}

= \frac{0.5}{2 ^{1023}}

\frac{0.5}{2 ^{1023}} = \frac{5}{10 \cdot 2 ^{1023}}

= \frac{5}{10 \cdot 2 ^{1023}}

Cancel the numbers:

\frac{5}{10} = \frac{1}{2}

= \frac{1}{2 \cdot 2 ^{1023}}

2 \cdot 2^{1023} = 2^{1024}

= \frac{1}{2 ^{1024}}

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Frequently Asked Questions (FAQ)

What is 0.5*(2^{(-1023)}) ?
The solution to 0.5*(2^{(-1023)}) is 1/(2^{1024)}