5^3/4 + 2^11/12
a. 7^7/8
b.7^3/5
c.8^3/4
d. 8^2/3

D. 8 2/3

Step-by-step explanation:

(5 3/4) + (2 11/12) = (5 +2) + (3/4 +11/12)

... = 7 + (9/12 +11/12)

... = 7 + 20/12 = 7 + (1 8/12)

... = 8 8/12 = 8 2/3

Comment on math symbols

The caret (^) signifies exponentiation. your number 5^3/4 = (5^3)/4 = 125/4 = 31.25. This is not the mixed number you apparently intend.

A mixed number is customarily written with a space between the integer and the fraction. In an expression, this can be confusing, so I generally put parentheses around a mixed number that is part of an expression.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

no

step-by-step explanation: