What is the value of the expression x^-2y^3 where x=-5 and y=2?

8/25

Step-by-step explanation:

The given expression x^-2 y^3, where x = -5 and y = 2

Here we have negative exponent, we have to make it positive using exponent rule.

a^-1 = 1/a

Using this rule, we can rewrite the given expression as

=

Now plug in x = -5 and y = 2, in the above expression, we get

= 1/(-5)^2 *(2)^3

= 1/25 *8

= 8/25

That's the answer.

Hope you will understand the concept.

Thank you.

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