# What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5?

**Solution:**

Based on the multiplication rule of exponents and powers.

a^{x} × a^{y} = a^{x+y}

We can write 4 power 4 multiplied by 4 power 3 over 4 power 5 as

= (4^{4}.4^{3}) / 4^{5}

= (4^{4+3}) / 4^{5 }

= 4^{7} / 4^{5 }

By using the quotient property of exponents

a^{m }/ a^{n} = a^{m - n}

4^{7 }/ 4^{5}

= 4^{7-5}

= 4^{2}

Therefore, the simplified expression is 16.

## What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5?

**Summary:**

The simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5 is 16.

Math worksheets and

visual curriculum

visual curriculum