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 <===
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