Show that a^5x(a^3)^2 can be expressed as a^11

The rectangle shown has a perimeter of 108 cm and the given area. its length is 6 more than five times its width. write and solve a system of equations to find the dimensions of the rectangle.

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. find the number.