Write 2^40 as an exponent with a base of: 2^2, 2^5, 2^8, 2^10

2^40 =

1) (2^2)^20

2) (2^5)^8

3) (2^8)^5

4) (2^10)^4

Step-by-step explanation:

We know this simply because we multiply the exponent inside the parentheses by the exponenent outside the parentheses. Using this, we can simply find the numbers that have a product of 40.

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).

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step-by-step explanation:

domit