Simplify each exponential expression using the properties of exponents and match it to the correct answer. answers - 2, 1, 1/2

1.

(2x3^-2)(5x3^2)^2

(3^-2)(5x2)^2

2.

(3^3)(4^0)^2(3x2)^-3(2^2)

3.

(3^7x4^7)(2x5)^-3(5^2)

12^2x5^-1x2^-4

4.

(2x3)^-1x2^0

(2x3)-1

answer:

3

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

he earned 78.75 in interest.

step-by-step explanation: