Question

3. Which of the following expressions is equivalent to (-3x^3y^4)?F.-27x^7y^8G.-81x^12y^6H.27x^7y^8J.81x^12y16

Answer 1

By raising the expression -3x^3y^4 to four and applying the properties of exponents we get:

`(-3x^3y^4)^4=(-3)^4(x^3)^4(y^4)^4=(-3)^4(x^{})^(4*3)(y^{})^(4*4)=81x^(12)y^(16)`

Then, the expression -3x^3y^4 is equivalent to 81x^12y16​