Question

10[4×10/(6^2−4^2)+1]

A. 40

B. 41

C. 42

D. 43

Answer 1

The expression 10[4×10/(6²−4²)+1] simplifies step by step, first by computing exponents and basic arithmetic inside the brackets, and finally multiplying by 10 to get the final result of 30.

Step-by-step explanation:

To solve the expression 10[4×10/(6²−4²)+1], let's break it down step by step:

1. First, calculate the exponent and subtraction inside the brackets: 6² = 36 and 4² = 16.
2. Subtract 16 from 36 to get 20.
3. Multiply 4 by 10 to get 40.
4. Divide the result from step 3 by the result from step 2 to get 40/20 = 2.
5. Add 1 to this result to get 2 + 1 = 3.
6. Finally, multiply 10 by the result from step 5 to get 10 × 3 = 30.