Solve 6³ - 6²: Calculating the Difference Between Cube and Square Powers

Solve the following exercise and circle the correct answer:

$6^3-6^2=$

To solve the expression $6^3 - 6^2$, we will follow the order of operations, which in this case involves evaluating the powers before the subtraction operation.

• First, evaluate $6^3$:
  • $6^3$ means $6 \times 6 \times 6$.
  • Calculating this, we get $6 \times 6 = 36$.
  • Then multiply 36 by 6 to get $36 \times 6 = 216$.
• Next, evaluate $6^2$:
  • $6^2$ means $6 \times 6$.
  • Calculating this gives us $36$.
• Finally, subtract the second result from the first:
  • That is $216 - 36$.
  • Performing the subtraction, we get $180$.

Thus, the result of the expression $6^3 - 6^2$ is $180$.