Question

Express the following in the form of 2n-32
​

Answer 1

Step-by-step explanation:

2n-32

n

$= 32 \div 2$

Answer 2

$\displaystyle \sf{32 = {2}^{5} }$

Given :

The number 32

To find :

To express in form of 2ⁿ

Solution :

Step 1 of 3 :

Write down the given number

Here the given number is 32

Step 2 of 3 :

Prime factorise the given number

$\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{2}}}&{\underline{\sf{\:\:32 \:\:}}}\\ {\underline{\sf{2}}}&\underline{\sf{\:\:16 \:\:}} \\ {\underline{\sf{2}}}&\underline{\sf{\:\:8 \:\:}} \\\underline{\sf{2}}&\underline{\sf{\:\:4\:\:}}\\\underline{\sf{2}}&\underline{\sf{\:\:2\:\:}} \\ {\underline{\sf{}}}&\underline{\sf{\:\:1\:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}$

32 = 2 × 2 × 2 × 2 × 2

Step 3 of 3 :

Express 32 in form of 2ⁿ

We observe that in prime factorisation of 32 , number of 2's = 5

Hence we can conclude that

$\displaystyle \sf{ 32 = {2}^{5} }$

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