Evaluate $$ 2 x^{-4} y $$ for $$ x=2 $$ and $$ y=4 $$ $$ \frac{1}{8} $$ $$ \frac{1}{2} $$ -64

Question

UpStudy AI · Accepted Answer

We are given the expression 2·x⁻⁴·y and the values x = 2 and y = 4.

Step 1: Substitute the given values:
  2 · (2)⁻⁴ · 4

Step 2: Evaluate (2)⁻⁴:
  (2)⁻⁴ = 1/(2⁴) = 1/16

Step 3: Substitute back into the expression:
  2 · (1/16) · 4

Step 4: Multiply the constants:
  2 · 4 = 8, so the expression is 8/16

Step 5: Simplify 8/16:
  8/16 = 1/2

Thus, the value of the expression is 1/2.
The value of the expression is $$ \frac{1}{2} $$.

Evaluate \( 2 x^{-4} y \) for \( x=2 \) and \( y=4 \) \( \frac{1}{8} \) \( \frac{1}{2} \) -64