Which expression is equivalent to 4square root 16x^11y^8/81x^7y^6

Step-by-step explanation:

LEts simplify the fraction inside the radical

we use rule of exponents to simplify the variables

When the exponents are in division with same base then we subtract the exponents

Equivalent expression is

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )

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).