Question

(x - 2) ^ 4 * (x - 2) ^ 9

Answer 1

$(x - 2) {}^{4} \times (x - 2) {}^{9} = (x - 2) {}^{4 + 9} = \\ (x - 2) {}^{13}$

Answer 2

To simplify the expression (x - 2)^4 * (x - 2)^9, you can use the properties of exponents, specifically the product rule of exponents which states that when you multiply two expressions with the same base, you can add their exponents. In this case, the base is (x - 2). So, you can add the exponents 4 and 9 to simplify the expression:

(x - 2)^4 * (x - 2)^9 = (x - 2)^(4 + 9) = (x - 2)^13

So, the simplified expression is (x - 2)^13.