Write the expression below in the form x^n, assuming x?0, and give the value of n.

Question

x^6⋅x^5/x^2

Answer 1

When multiplying terms with the same base, you can add the exponents. Similarly, when dividing terms with the same base, you can subtract the exponents.

 

x^6 * x^5 / x^2 = x^(6+5) / X^2 = x^11 / x^2 = x^(11-2) = x^9

 

Therefore, n = 9