Find the square of 2m^2 - 2/3n^2

4m^4 - 8/3m^2 n^2 + 4/9n^4

Step-by-step explanation:

(2m^2 - 2/3n^2)(2m^2 - 2/3n^2)

= 2m^2(2m^2 - 2/3n^2) - 2/3n^2(2m^2 - 2/3n^2)

= 4m^4 - 4/3m^2 n^2 - 4/3m^2n^2 + 4/9n^4

=  4m^4 - 8/3m^2 n^2 + 4/9n^4

his first public project he is asked to create a small scale drawing. the garden is a right triangle with base 25m and height 30m. are you trying to solve for the last side/hypotenuse? the irrational form of the answer would be 5\sqrt{61}

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places