Question

example 1,080in exponential form​

Answer 1

If we put all of it together we have the factors 2 x 2 x 2 x 3 x 3 x 3 x 5 = 1,080. It can also be written in exponential form as 2^3 x 3^3 x 5^1.

Answer 2

$\displaystyle \bf{1080 = {2}^{3} \times {3}^{3} \times {5}^{1} }$

Given :

The number 1080

To find :

Express 1080 in exponential form

Solution :

Step 1 of 3 :

Write down the given number

Here the given number is 1080

Step 2 of 3 :

Prime factorise the given number

$\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{2}}}&{\underline{\sf{\:\:1080 \:\:}}}\\ {\underline{\sf{2}}}&\underline{\sf{\:\:540 \:\:}} \\ {\underline{\sf{2}}}&\underline{\sf{\:\:270 \:\:}} \\\underline{\sf{3}}&\underline{\sf{\:\:135\:\:}}\\\underline{\sf{3}}&\underline{\sf{\:\:45\:\:}}\\\underline{\sf{3}}&\underline{\sf{\:\:15\:\:}} \\ {\underline{\sf{5}}}&\underline{\sf{\:\:5\:\:}}\\\underline{\sf{}}&{\sf{\:\:1 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}$

1080 = 2 × 2 × 2 × 3 × 3 × 3 × 5

Step 3 of 3 :

Express in exponential form

In prime factorisation of 1080

Number of 2's = 3

Number of 3's = 3

Number of 5's = 1

Hence we get

$\displaystyle \sf{1080 = {2}^{3} \times {3}^{3} \times {5}^{1} }$

Correct question : Express 1,080 in exponential form

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