billoswald
contestada

Given the following expressions:
5 with an exponent of 3 times 5 with an exponent of -4
exponent of 3 times (1/4) with an exponent of 2
(1/4) with an exponent of 3 times (1/4) with an exponent of 2
(-7) with an exponent of 5 over (-7) with an exponent of 7
Part 1: Use operations of exponents to simplify each expression (A-D). Include your work in your final answer.

Part 2: For each simplified expression (A-D), tell whether or not the expression has a value between 0 and 1.

Respuesta :

Step-by-step explanation:

Step 1:

A .    5 with an exponent of 3 times 5 with an exponent of -4

= [tex]5^{3} * 5^{-4}[/tex]  = [tex]5^{3-4}[/tex]= [tex]5^{-1}[/tex] = 1/5

B .   (1/4) with an exponent of 3 times (1/4) with an exponent of 2

= [tex](1/4)^{3} * (1/4)^{2} = (1/4)^{3+2} = (1/4)^{5} = 1/1024[/tex]  

C. Same as above

D.  [tex]\\\frac{(-7)^{5} }{(-7)^{7} } = (-7)^{5-7} = (-7)^{-2} =1/7^{2} = 1/49[/tex]

Step 2 :

All the above expressions have a value between 1 and 2

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Answer:

Step-by-step explanation:

Step 1:

A .    5 with an exponent of 3 times 5 with an exponent of -4

=   = =  = 1/5

B .   (1/4) with an exponent of 3 times (1/4) with an exponent of 2

=  

C. Same as above

D.  

Step 2 :

All the above expressions have a value between 1 and 2