Question

Express 648 as a product of powers of prime factors

Answer 1

648 = 2 × 2 × 2 × 3 × 3 × 3 × 3

648 = 2^3 × 3^4

Answer 2

648 = 2³ × 3⁴

Given :

The number 648

To find :

Express 648 as a product of powers of prime factors

Solution :

Step 1 of 2 :

Prime factorise the given number

The given number is 648

Now we have

648 = 2 × 2 × 2 × 3 × 3 × 3 × 3

Step 2 of 2 :

Express 648 as a product of powers of prime factors

In prime factorisation of 648 -

Number of 2's = 3

Number of 3's = 4

Thus expressing 648 as a product of powers of prime factors we get

648 = 2³ × 3⁴

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