Answer:
69,561.4814
Explanation:
To work out the value of the given expression, let's break it down step by step:
Step 1: Evaluate the exponent of 78 squared.
78 squared means 78 raised to the power of 2, which is 78 × 78. This gives us 6,084.
Step 2: Multiply the result from step 1 by 103.
Multiplying 6,084 by 103 gives us 626,052.
Step 3: Evaluate the exponent of 3 to the power of -2.
3 to the power of -2 is equal to 1 divided by 3 squared. 3 squared is 3 × 3, which is 9. So, 1 divided by 9 is equal to 0.1111 (repeating).
Step 4: Multiply the result from step 2 by the result from step 3.
Multiplying 626,052 by 0.1111 (repeating) gives us 69,561.4814 (rounded to four decimal places).
Therefore, the value of the given expression is approximately 69,561.4814. HOPE THIS HELPS!