Which of these is the algebraic expression for "some number to the power of 6? " a. 6x b. x + 6 c. x6 d. 6x

Your answer is C. x6

C is correct, x6

This is because when a smaller number is put above (as an exponent of another), you would read it as (the base number) to the power of (the exponent).

A is saying 6 TIMES some number 
B is saying some number PLUS 6
C is actually saying some number TO THE POWER OF 6
D is close but not quite right, instead of x to the power of 6, it is 6 to the power of x which is not what is being asked of us. 

40 & 50 in the right corner are the complementary angles as when placed in a sum (added together) they make 90°