Write the expression as a monomial in its standard form: )^2*) )y^4)^3*(16y^2)

1 .-x^8

2 . -2y^14

Step-by-step explanation:

1 .(-2x^2)^2*(-.25x^4)

We can separate things inside the powers  (ab)^x = a^x * b^x

(-2)^2  (x^2)^2  (-1/4) x^4

4 x^4  -1/4 x^4

We can add the exponents when the bases are the same  x^a * x^b = x^(a+b)

4 * -1/4  x^ (4+4)

-x^8

2 .((-.5)y^4)^3*(16y^2)

   We can separate things inside the powers  (ab)^x = a^x * b^x

(-1/2) ^3 (y^4) ^3 (16) y^2

When a power is raised to a power, we multiply  x^a^b = x^(ab)

-1/8 * y^(4*3) * 16 y^2

-1/8 *16 y^12 * y^2

We can add the exponents when the bases are the same  x^a * x^b = x^(a+b)

-2 y^(12+2)

-2y^14

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)