Answer :
Part 1:
A.53 =53
B.3^5/3^-6 =177147
C.(1/4)^3 • (1/4)^2 = 1 /1024
D.(-7)^5/(-7)^7 = 1/49
I tried my best for part 2 but i'm pretty sure it's not right. I think 1/1024 and 1/49 has a value between 0 and 1
The arithmetic operations are used in order to evaluate the given expressions and the calculations are given below.
A) [tex]53\times 5-4[/tex]
Equate the above expression with any variable 'x' and then simplify the given expression.
[tex]x = 53\times 5-4\\x = 265-4\\x=261[/tex]
From the above calculation, it can be concluded that the value of the given expression does not lie between 0 and 1.
B) [tex]3^5/3^6[/tex]
Equate the above expression with any variable 'y' and then simplify the given expression.
[tex]y = \dfrac{3^5}{3^6}\\\\y = \dfrac{1}{3}[/tex]
From the above calculation, it can be concluded that the value of the given expression lies between 0 and 1.
C) [tex](1/4)^3\times (1/4)^2[/tex]
Equate the above expression with any variable 'z' and then simplify the given expression.
[tex]z = \left(\dfrac{1}{4}\right)^3\times \left(\dfrac{1}{4}\right)^2\\\\z= \left(\dfrac{1}{4}\right)^5[/tex]
From the above calculation, it can be concluded that the value of the given expression lies between 0 and 1.
D) [tex](-7)^5/(-7)^7[/tex]
Equate the above expression with any variable 'w' and then simplify the given expression.
[tex]w = \dfrac{(-7)^5}{(-7)^7}\\\\\\w=\dfrac{1}{49}[/tex]
From the above calculation, it can be concluded that the value of the given expression lies between 0 and 1.
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https://brainly.com/question/25834626