Math help, please!!!!!!?

Question

I am having trouble understanding the exponents here
first I have .........
What expression raised to the fourth power is
81x^12 y^8 z^16?

also I am struggling on find the values of the follwoing polynomials
-x^2-5x-6x, when x=-3 and x=-2?
I do not get this do I plug the given values into the equation and then solve from there? Please help me.

Answer 1

In the first problem, you have four things multiplied together. Each of them is something to the power of 4.

81 is 3 to the power of 4
y^8 is something else to the power of 4. To figure out what, remember what power means.

y^8 means y.y.y.y.y.y.y.y

(The dot here means multiply.)

So if we group this into four groups, we have:

y.y times y.y times y.y times y.y

which is "y.y" to the power of 4

That's y².

You can do the same for the other ones.

In the second problem, just replace x by -3 in the expression and see what it works out as. Then do the same replacing x with -2.

Answer 2

Exponents

If you have y^4, this is y raised to the power of 4

if you have y^8, this is y^2 raised to the power of 4. Remember that the property is: (z^b)^c = z^ (bc), you multiply the exponents

So, in your example, observe that the exponents are:
81 = 3^4
x^12 = x^(3*4)
y^8 (I already explained this one)
z^16= z^(4*4)

So, can you now find it on your own? If you cant, write to me

Polynomials

Yes, you have to plug these values, but these are 2 different exercises. Plug first x=3 and evaluate. Then you will have your first result. Then plug x=2 in the original expression and do the same

Ana

Answer 3

81 x^12 y^8 z^16 = (3^4) x^12 y^8 z^16

Take the fourth root.

{(3^4)x^12 y^8 z^16}^(1/4) = ±3 x^3 y^2 z^4
raised to the fourth power equals the above

Answer 4

3x^3 y^2 z^4


when x = -3, the answer is 24
when x = -2, the answer is 14