STION 4: \( x^{n+2} \times x^{2} \times x^{n+1} \) Sify, writing positive

To simplify the expression \( x^{n+2} \times x^{2} \times x^{n+1} \), use the property of exponents that states when multiplying like bases you can add the exponents. So, we combine the exponents: \( (n+2) + 2 + (n+1) = n + 2 + 2 + n + 1 = 2n + 5 \). Thus, the simplified expression is \( x^{2n+5} \). --- When working with exponents, remember the golden rule: adding the exponents is a breeze! Just make sure to keep track of positive values, as negative exponents can sneak in unexpectedly. This simplification also highlights the beauty of algebra, where patterns emerge from combining like terms. Next time you encounter a similar expression, practice breaking it down step by step. It’ll boost your confidence and help avoid common errors like overlooking an exponent or incorrect addition. Happy simplifying!