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

x to the 12 over 35

Step-by-step explanation:

Given expression,

Open parentheses x to the 4 fifths power close parentheses,

By using the property of exponent

We get,

= x to the 12 over 35,

Second option is correct.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: