simplify the expression. write your answer using single variables raised to exponents. q·q·r·r·t·u
simplify the expression. write your answer using single variables raised to exponents. q·q·r·r·t·u
Answer
Explanation:
Step1: Apply exponent rule for same - base multiplication
When multiplying variables with the same base, we add the exponents. For $q\cdot q$, since the base is $q$ and we have two $q$'s, $q\cdot q = q^{1 + 1}=q^{2}$. Similarly, for $r\cdot r$, with base $r$, $r\cdot r=r^{1 + 1}=r^{2}$.
Step2: Combine simplified terms
The original expression $q\cdot q\cdot r\cdot r\cdot t\cdot u$ simplifies to $q^{2}r^{2}tu$.
Answer:
$q^{2}r^{2}tu$