1. **State the problem:** Simplify the expression $2^{22} \times 3^{33}$. 2. **Recall the rules:** When multiplying powers with different bases, you cannot combine the bases. So the expression remains a product of powers. 3. **Evaluate each power separately:** - $2^{22}$ means multiplying 2 by itself 22 times. - $3^{33}$ means multiplying 3 by itself 33 times. 4. **Calculate the values:** - $2^{22} = 4194304$ - $3^{33} = 5559060566555523$ 5. **Multiply the results:** $$2^{22} \times 3^{33} = 4194304 \times 5559060566555523 = 23304616224142181496064$$ 6. **Final answer:** $$2^{22} \times 3^{33} = 23304616224142181496064$$