Question

order the expressions by choosing >, <, or =.$2^{2} \times 3^{2}$ □ $6^{2}LXB02^{3} \times 3^{2}$ □ $6^{6}$

Explanation:

Step1: Calculate left expression 1

$2^2 \times 3^2 = 4 \times 9 = 36$

Step2: Calculate right expression 1

$6^2 = 36$

Step3: Compare pair 1

$36 = 36$, so $2^2 \times 3^2 = 6^2$

Step4: Calculate left expression 2

$2^3 \times 2^2 = 8 \times 4 = 32$

Step5: Calculate right expression 2

$2^6 = 64$

Step6: Compare pair 2

$32 < 64$, so $2^3 \times 2^2 < 2^6$

Step7: Calculate left expression 3

$2^3 \times 3^2 = 8 \times 9 = 72$

Step8: Calculate right expression 3

$6^6 = 46656$

Step9: Compare pair 3

$72 < 46656$, so $2^3 \times 3^2 < 6^6$

Answer:

1. $2^2 \times 3^2 = 6^2$
2. $2^3 \times 2^2 < 2^6$
3. $2^3 \times 3^2 < 6^6$