Question

simplify. express your answer using positive exponents. 8r^{- 22}cdot9r^{31}

Explanation:

Step1: Multiply coefficients

$8\times9 = 72$

Step2: Use exponent - rule for multiplying like - bases

When multiplying two terms with the same base $r$, we add the exponents. So $r^{22}\cdot r^{31}=r^{22 + 31}=r^{53}$

Answer:

$72r^{53}$