5 times 5 to the power of k / 5 to the power of -8 = 5 to the power of 3 what value of k makes the quation true

Provide mathematical justifcation for ur answer.

Which expression is equivalent to 2x^2+2x-4/2x^2-4x+2

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

The area of square garden is 300m squared. how long is the diagonal?