Simplify open parentheses x to the 4 fifths power close parentheses to the 3 sevenths power.

x to the 7 twelfths power
x to the 12 over 35 power
x to the 13 over 35 power
x to the 43 over 35 power

Step-by-step explanation:

Here let us first write our expression

It says, x raise to 4 5th power i.e 4 by 5 , again raise to 3 7th power i.e 3 by 7

or

Now in this we apply the rule of product of exponents . The rule is like this.

Let us apply the rule in our problem

Which is x to the 12 over 35 hence our b option is correct

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6