The expression (a3)2 can be simplified as shown here: (a3)2 = (a3)(a3) = (a · a · a)(a · a · a) = a6 write out in words how you would explain each step of this process to a friend. why is each step equal to the previous step? using a similar reasoning, explain why (a2)3= a6.

1 step: if you have to square some number, then you have to multiply this number by itself:

2 step: to find the cube of a number you should multiply this number two times by itself:

3 step: multiplying a by itself 5 times you get the 6th power of a:

Similar way to count is:

answer: slight chance that it will happen

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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