Question

find the cube of 729 by factor method​

Answer 1

Answer:

Hope you like this answer. Plz give rate..

Step-by-step explanation:

Step 1: Find the prime factors of 729

729 = 3 × 3 × 3 × 3 × 3 × 3

Step 2: Clearly, 729 is a perfect cube. Here we will be using laws of exponents.

729 = 36 [am × an = am+n]

729 = [32]3 [(am)n = amn]

729 = 93

Step 3: Now, we will apply cube root to both the sides of the above expression to take out the factor as a single term, which is in cubes.

3√729 = 3√(93)

So, here the cube root is cancelled by the cube of 9.

Hence, 3√729 = 9

Answer 2

Answer:

Here is your answer mate

Step-by-step explanation:

You have to you prime factorisation for this

3 | 729

3 |243

3 |81

3 |27

3 |9

3 |3

|1

So = 3×3×3×3×3×3

=3^3 × 3^3

=(3×3)^3

9 cube

Have a good night

If you find this helpful mark as brainliest