Question

Which is the highest power of
5 in 10³*5²*15²

Answer 1

Answer:

The answer is 7

Step-by-step explanation:

Given number is

 $10^3\times 5^2\times 15^2$

$=(2\times 5)^3\times 5^2\times (3\times 5)^2\\=2^3\times 5^3\times 5^2\times 3^2\times 5^2\\=2^3\times 3^2\times 5^{3+2+2}\\=2^3\times 3^2\times 5^{7}$$\boxed{\because a^m\times a^n\times a^p=a^{m+n+p}}$

Therefore the highest power of 5 is 7