Question

2 to the power of minus 6 as a fraction

Answer 1

2

${2}^{ - 6}$

$\frac{1}{ {2}^{6} }$

$\frac{1}{64}$

answer

Answer 2

$\displaystyle \sf {2}^{ - 6} = \bf \: \frac{1}{64}$

Given :

$\displaystyle \sf {2}^{ - 6}$

To find :

Express as a fraction

Solution :

Step 1 of 2 :

Write down the given number

Here the given number is

$\displaystyle \sf {2}^{ - 6}$

Step 2 of 2 :

Express as a fraction

$\displaystyle \sf {2}^{ - 6}$

$\displaystyle \sf = \frac{1}{ {2}^{6} }\: \: \: \bigg[ \: \because \: {a}^{ - n} = \frac{1}{ {a}^{n} } \bigg]$

$\displaystyle \sf = \frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2}$

$\displaystyle \sf = \frac{1}{64}$

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