Question

hcf of 3^3 x 5^4 and 3^4 x 5² is​

Answer 1

675

3^3 * 5^2   common bases with least powers

Answer 2

Answer:

HCF((3³ × 5⁴), (3⁴ × 5²)) = 3³ × 5²

Step-by-step explanation:

We have,

3³ × 5⁴ and 3⁴ × 5²

Now,

We know that,

HCF of a number the product of the common factors with the least power.

Here 3 and 5 are both common factors.

3 has the least power of 3

5 has the least power of 2

So,

HCF = 3³ × 5²

Thus,

HCF((3³ × 5⁴), (3⁴ × 5²)) = 3³ × 5²

Hope it helped and believing you understood it........All the best