Question

Given the following expressions:

Answer 1

Step-by-step explanation:

Step 1:

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

= $5^{3} * 5^{-4}$  = $5^{3-4}$= $5^{-1}$ = 1/5

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

= $(1/4)^{3} * (1/4)^{2} = (1/4)^{3+2} = (1/4)^{5} = 1/1024$  

C. Same as above

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

Step 2 :

All the above expressions have a value between 1 and 2