Question

Express 1,080 in exponential form.​

Answer 1

Step-by-step explanation:

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 23 x 33 x 51.

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Answer 2

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

Given :

The number 1080

To find :

Express 1,080 in exponential form.

Solution :

Step 1 of 3 :

Write down the given number

The given number is 1080

Step 2 of 3 :

Prime factorise the given number

1080 = 2 × 2 × 2 × 3 × 3 × 3 × 5

Step 3 of 3 :

Express 1,080 in exponential form.

In prime factorisation of 1080 -

Number of 2's = 3

Number of 3's = 3

Number of 5's = 1

Hence the required exponential form is

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