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If $$p={1\over\sqrt{14}-\sqrt{13}}$$ and $$q={1\over\sqrt{14}+\sqrt{13}}$$ then $$p^{2}+2pq+q^{2}=$$
What is the units digit of $$18^{47}$$?
$$(\sqrt{5+\sqrt{5}}-\sqrt{5-\sqrt{5}})^{2}=$$
If $$2^{k}=3$$,then $$2^{3k+2}=$$
If -1 < x < 0, which of the following is correct?
If $$2^{2n}?+2^{2n}?+2^{2n}?+2^{2n}?=4^{24}$$,then n =
If $${8^{5}·4^{6}\over16^{n}}=32^{1-n}$$ then n =
If x and y are both positive then $$\sqrt{72x^{3}y^{16}}$$
If 2 ÷ 2 ÷ 2 ÷ 2 ÷ 2 = $$2^{x}$$, then x =
If$$72^{4}$$is the greatest common divisor of positive integers A and B, and $$72^6$$ is the least common multiple of A and B, then AB=
If $$4^{n}?+4^{n}?+4^{n}?+4^{n}?+=4^{16}?$$,then n =
If $$(\frac{1}{2})^{24}+(\frac{1}{81})^{k}=\frac{1}{18^{24}}$$,then k =
If$$8^c·\sqrt{8}=\frac{8^{a}}{8^{b}}$$, then a =
Which of the following equations is true for all positive values of x and y?
x and y are positive integers such that x < y. If$$6\sqrt{6}=x\sqrt{y}$$ , then xy could equal
If k is an integer and $$121 < k^{2} < 225$$, then k can have at most how many values?
If a and b are integers and $$(\sqrt[3]{a}·\sqrt{b})^{6}=500$$, then a + b could equal
If $$\sqrt{17+\sqrt{264}}$$ can be written in the form $$\sqrt{a}+\sqrt{b}$$, where a and b are integers and b < a, then a - b =
If x and y are positive odd integers, then which of the following must also be an odd integer?

I.$$x^{y+1}$$

II. x(y+1)

III.$$(y+1)^{x-1} + 1$$
When a coin is flipped, the probability of getting heads is 0.5, and the probability of getting tails is 0.5

A coin is flipped 5 times

Quantity A

Probability of getting exactly 2 heads

Quantity B

Probability of getting exactly 3 heads


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