Question

Evaluate 2x^-4y for x = 2 and y = 4. -64 1/8 1/2

Answer 1

Explanation:

Answer 2

`(1)/(2)`

EXPLANATION

The given expression is;

`2 {x}^( - 4) y`

We want to find the value of this expression when x=2 and y=4.

We substitute to get,

`2 {(2)}^( - 4) (4)`

`8 * {2}^( - 4)`

Recall that

`{a}^( - m) = \frac{1}{ {a}^(m) }`

This implies that,

`8 * {2}^( - 4) = 8 * \frac{1}{ {2}^(4) }`

`8 * {2}^( - 4) = 8 * (1)/(16 ) = (1)/(2)`