Question

Find the maximum power of 15 in 75!
Select one:
O a. 15
O b. 16
C. 20
d. 18​

Answer 1

Answer:

c 15

Step-by-step explanation:

answers please mark as brilliant and thank you

Answer 2

d)18

The maximum power of 15 in 75! is 18

Step-by-step explanation:

Given:

The term 75!

To find:

The maximum power of 15 in 75!

Solution:

Step1:

We need to write the term 15 in prime factors.

⇒15⇒3×5

Step2:

From the prime factors, 3 and 5, the Highest power of the term 15 will be equal to the highest power of the prime factor.

Therefore,

⇒$\frac{75}{5}$× $\frac{75}{5^{2} }$ × $\frac{75}{5^{3} }$

⇒15 +3 +0

⇒18

Hence,

The maximum power of 15 in75! is 18.