Question

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

Answer 1

ANSWER

$\frac{1}{2}$

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,

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

$8 \times {2}^{ - 4}$

Recall that

${a}^{ - m} = \frac{1}{ {a}^{m} }$

This implies that,

$8 \times {2}^{ - 4} = 8 \times \frac{1}{ {2}^{4} }$

$8 \times {2}^{ - 4} = 8 \times \frac{1}{16 } = \frac{1}{2}$