Evaluate 1/2^-2x^-3y^5 for x=2 and y=-4

Question

asked Apr 3, 2021 180k views

1 Answer

Jozef Dochan · Answer 1 · 2021-04-09T01:20:52+0000

Answer:

Explanation:

Given,

x = 2

y = - 4

Now, let's solve:

$\frac{1}{ {2}^( - 2) \: {x}^( - 3) \: {y}^(5) }$

plug the values

$\frac{1}{ {2}^( - 2) \: {(2)}^( - 3) \: {( - 4)}^(5) }$

A negative base raised to an odd power equals a negative

$\frac{1}{ {2}^( - 2) * {2}^( - 3) * {( - 4}^(5)) }$

Determine the sign of the fraction

$- \frac{1}{ {2}^( - 2) * {2}^( - 3) * {4}^(5) }$

Write the expression in exponential form with a base of 2

$- \frac{1}{ {2}^( - 2) * {2}^( - 3) * {2}^(10) }$

Calculate the product

$- \frac{1}{ {2}^(5) }$

Evaluate the power

Hope this helps...

Best regards!!