Respuesta :

(4^4 * 4^3) / 4^5 = 

when multiplying exponents with the same base, add the exponents
(4^4 * 4^3 = 4^(4 + 3) = 4^7

now we have 4^7 / 4^5

when dividing exponents with the same base, u subtract the exponents.
4^7 / 4^5 = 4^(7-5) = 4^2 <===

Simplified expression   for [tex]\dfrac{4^{4}\times 4^{3} }{4^5}[/tex]    is  [tex]4^{2}[/tex]  which equals 16

From a simple property of exponent with same base [tex]a[/tex] we can write expression

[tex](a^{x} \times a^{y})/ a^{z}= a^{x+y-z}[/tex]....(1)

The  given expression is

                        [tex]\dfrac{4^{4}\times 4^{3} }{4^5}[/tex]

from equation (1)  we can write

=      [tex]\dfrac{4^{7} }{4^{5} }[/tex]

= [tex]4^{7-5}[/tex]

= [tex]4^{2}[/tex]

= 16

For more information about exponents please refer to the link below :

https://brainly.com/question/15993626