Question

express 1296 as a product of powers of prime factors ​

Answer 1

Answer:

2 x 2 x 2 x 2 x 3 x 3 x 3 x 3

Step-by-step explanation:

If we put all of it together we have the factors 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 = 1,296. It can also be written in exponential form

Answer 2

1296 can be expressed as (2⁴×3⁴); as product of powers of prime factors.

Given:

• 1296

To find:

• Express 1296 as a product of powers of prime factors.

Solution:

Step 1:

Divide the number by prime numbers.

$2 |1296| \\ 2 |648| \\ 2 |324| \\ 2 |162| \\ 3|81| \\ 3 |27| \\ 3 |9| \\ 3 |3| \\ |1|$

So,

$1296 = 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3$

Step 2:

Write prime factors in powers.

$1296 = {2}^{4} \times {3}^{4}$

Thus,

1296 can be expressed as (2⁴×3⁴) ;as product of powers of prime factors.

Learn more:

1) Express 644644asthe product of its prime factor using factor tree.

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2) Write 1764 as a product of its prime factors

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