Question

8 the expression $8^3 \times 6^3$ is not equivalent to which of the following numerical expressions? a. $83 \times 63$ b. $8 \times 8 \times 8 \times 6 \times 6 \times 6$ c. $512 \times 216$ d. $64 \times 8 \times 36 \times 6$

Explanation:

Step1: Calculate original expression

$8^3 \times 6^3 = (8 \times 8 \times 8) \times (6 \times 6 \times 6) = 512 \times 216 = 110592$

Step2: Evaluate Option A

$83 \times 63 = 5229$

Step3: Evaluate Option B

$8 \times 8 \times 8 \times 6 \times 6 \times 6 = 512 \times 216 = 110592$

Step4: Evaluate Option C

$512 \times 216 = 110592$

Step5: Evaluate Option D

$64 \times 8 \times 36 \times 6 = (64 \times 8) \times (36 \times 6) = 512 \times 216 = 110592$

Step6: Identify non-equivalent value

Only Option A has a different result from the original expression.

Answer:

A. $83 \times 63$