When you simplify an algebraic expression like a53⋅a14 , you know that the bases of the expressions must be the same. You also need to rewrite the exponents so that they have a common denominator. Explain why you need to find the common denominator to simplify.

If i have a 24 in loaf of bread and i cut it into two pieces one 9 in how long was the other

Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the equation 4 p plus 4 x plus 2 pxequals56. suppose also that p and x are both functions of time, measured in days. find the rate at which x is changing when xequals2, pequals6, and startfraction dp over dt endfraction equals1.5.

Solve the problem by using a venn diagram a group of students were surveyed about their taste in music.they were asked how they like three types of music: rock, country western and jazz.the results are summarized below: no one dislikes all three types of music.six like all three types of music.eleven don’t like country western.sixteen like jazz.three like country western and jazz, but not rock.six don’t like rock.eight like rock and country western.seven don’t like jazz.how many students were surveyed?