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Tanya [424]
3 years ago
13

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

Mathematics
1 answer:
Ganezh [65]3 years ago
8 0

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}

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