Verified Answer :

texaschic101

(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 \(\dfrac{4^{4}\times 4^{3} }{4^5}\)    is  \(4^{2}\)  which equals 16

From a simple property of exponent with same base \(a\) we can write expression

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

The  given expression is

                        \(\dfrac{4^{4}\times 4^{3} }{4^5}\)

from equation (1)  we can write

=      \(\dfrac{4^{7} }{4^{5} }\)

= \(4^{7-5}\)

= \(4^{2}\)

= 16

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

https://brainly.com/question/15993626

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