If n and p are positive and 100n^3p^{-1} = 25n , what is n^{-2} in terms of p ?

For which of the following conditions will the sum of integers m and n always be an odd integer?

The lengths of the 2 legs of right triangle △ABC shown below are given in inches 24, 32 respec. The midpoint of AB is how many inches from A ?

For what value of x is the equation 2^{2x + 7}=2^{15} true?

If a=\dfrac{a-bc}{c+x} , what is the value of x in terms of a, b and c?

Given x-y=2 , x^2+y^2=4 , find the value of x^{2002}+y^{2002}

The perimeter of diamond ABCD is 16 cm,

∠ABC＝60° , the diagonal lines AC and BD intersects at point O .

Find the length of AC and BD

Given the trapezoid ABCD, AD\parallel BC , AB=AD+BC , E is the midpoint of CD. Prove AE , BE bisects \angle DAB , \angle ABC respectively.

Given BD bisects ∠ABC , ∠A+∠C=180° . Prove AD=DC

a^3+3a^2+3a+2

a^4+b^4+c^4-2a^2b^2-2b^2c^2-2a^2c^2

x^{15}+x^{14}+x^{13}+\dots +x+1