ESTION 4: pplify, writing answers with \( x^{n+2} \times x^{2} \times x^{n+1} \)

To simplify \( x^{n+2} \times x^{2} \times x^{n+1} \), you can use the property of exponents that states when multiplying like bases, you add their exponents. Thus, you would combine the exponents: \( (n+2) + 2 + (n+1) = 2n + 5 \). Therefore, the simplified expression is \( x^{2n+5} \). While exponents might seem tricky at first, remember that they’re just a shorthand for repeated multiplication. This means \( x^a \times x^b = x^{a+b} \) always holds true! So next time you see a mess of x's, just keep adding those exponents and simplify your life!