Find the number of zeroes at the end of the product of the expression $(15^2\times{12^6}\times{50^4}\times{4^2})$ ?

If a number is in the form of $8^{10} \times9^7\times7^8$, find the total number of prime factors of the given number.

$\frac{2}{9}$ the people in a restaurant are adults. If there are 65 more children than adults, then how many children are there in the restaurant?

The expression $2x^3+x^2-2^x-1$ is divisible by

What will be the remainder when $2^{384}$ is divided by 17?

$7^{81}+7^{82}+7^{83}$ is completely divisible by which of the following?

What is the remainder when $2^{125}$ is divided by 11?

A common factor of $(127^{97}+97^{97})$ and $(257^{166}-243^{166})$ is∶

What is the remainder when $(2^{55}+3^{23})$ is divided by 5?

$\frac{1}{3\times5}+\frac{1}{5\times7}+......+\frac{1}{13\times15}=?$

$\frac{1}{5\times6}+\frac{1}{6\times7}+........ + \frac{1}{15\times16}=?$