Question

What is the value of 12−2x−3y5
1
2
-
2
x
-
3
y
5
for x = 2 and y = –4?

Answer 1

For this case we have the following expression:

$12-2x-3y^5$

If $x = 2$

$y = -4$

We substitute the values in the given expression:

$12-2 (2) -3 (-4) ^ 5 =$

We solve the operations that are inside the parentheses:

Applying law of power and law of signs we have:

$12-4-3 ((- 4) (- 4) (- 4) (- 4) (- 4)) =$

Simplifying the operation within parentheses:

$12-4-3 (-1024) =$

Multiplying:

$12-4 + 3072 =$

Adding algebraically we have:

$12-4 + 3072 = 3080$

Answer:

The value of $12-2x-3y^5$ for $x = 2$ and$y = -4$ is 3080.