Question 1:

(1/2)

(1/4)

4

SO:

(1/2)

Squaring both numbers we get:

1/4 - 16

To simplify it, lets make a common denominator. Hence:

(1-64) / 4

63 / 4

15 3/4 Or 15.75

Question 2:

(-3xy

Solving:

(-3xy

(-3xy

Expanding:

-3xy

This is the simplest form of the equation

Question 3:

[5ab

Squaring the equation:

25a

This can also be written as:

25a

(1/2)

^{2}- (1/4)^{-2}(1/4)

^{-2}can also be written with a positive exponent as:4

^{2}SO:

(1/2)

^{2}- (4)^{2}Squaring both numbers we get:

1/4 - 16

To simplify it, lets make a common denominator. Hence:

(1-64) / 4

63 / 4

15 3/4 Or 15.75

Question 2:

(-3xy

^{4})-(-4x^{3y})^{6}Solving:

(-3xy

^{4})-(-4x^{3y}*^{6})(-3xy

^{4})-(-4x^{18y})Expanding:

-3xy

^{4}+4x^{18y}This is the simplest form of the equation

Question 3:

[5ab

^{2}/ c^{3}]^{2}Squaring the equation:

25a

^{2}b^{4}/c^{6}This can also be written as:

25a

^{2}b^{4}c^{-6}