Question

Simplify this problem

A) (xy)^-13
B) x^5/7^8
C) x^8y^5
D) 1/xy^3

Answer 1

Explanation:

Dividing both sides by 50, we obtain:

CD = 3654/50 = 73.08 ft

Since triangle CDE is a right triangle (as ropes AC and BC meet at a point outside the sinkhole), we can use trigonometry to find the measure of angle CDE. We have the length of the opposite side DE and the length of the adjacent side CD. Using the tangent function:

tan(CDE) = DE/CD

Substituting the known values, we get:

tan(CDE) = 52.2/73.08

Calculating the arctan (inverse tangent) of both sides, we find:

CDE ≈ arctan(52.2/73.08)

Using a calculator, we get:

CDE ≈ 35.76 degrees

To know more about triangle here

Answer 2

Explanation:

very fuzzy picture. it looks like

y^-8/x^-5

remember, a negative exponent simply means 1/...

e.g.

y^-8 = 1/y⁸

so, we have here nothing else than

1/y⁸ / 1/x⁵ = x⁵/y⁸

that is most likely answer B (I think you made some mistakes in the answer options).