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

= (4⁴.4³) / 4⁵

= (4⁴⁺³) / 4⁵ 

= 4⁷ / 4⁵ 

By using the quotient property of exponents

a^m / aⁿ = a^{m - n}

4⁷ / 4⁵ 

= 4^7-5

= 4²

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.