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Step-by-step explanation:

A.  

  5^5 * 5^4

= 5^(5-4)

= 5^1

= 5

B.

  3^5

  3^-6

= 3^5-(-6)

= 177,147

C.

  (1/4)^3 * (1/4)^2

= (1/4)^3+2

= (1/4)^5

= 1/1024

D.

  (-7)^5

  (-7)^7

= -7^5-7

= 7^-2

   1

= 7^-2

=  1  

   7^2

=  1  

   49

Part A:

5^3 * 5^-4

5^3-4

5^-1

1/5 or 0.2 (less than one)

Part B:

3^5/3^-6

3^5-(-6)

3^11

177147 (greater than one)

Part C:

1/4^2 * 1/4^3

1^2/4^2 * 1^3/4^3

1/16 * 1/64

1/1024 (less than one)

Part D:

(-7)^5/(-7)^7

-7^5-7

-7^-2

1/49 (less than one)

Best of Luck!

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step-by-step explanation: