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Find the value of [(4 – 5(4 – 5)4 ] 3

Question

Find the value of [(4 – 5(4 – 5)4 ] 3

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Solution

Sure, let's break it down:

Step 1: Solve the expression in the innermost parentheses first, which is (4 - 5). This equals -1.

Step 2: Substitute -1 into the equation, so it becomes 4 - 5(-1)4.

Step 3: Solve the multiplication part first according to the order of operations (BIDMAS/BODMAS), which is 5(-1)*4 = -20.

Step 4: Substitute -20 into the equation, so it becomes 4 - (-20) = 4 + 20 = 24.

Step 5: Now, raise 24 to the power of 3 (as indicated by the 3 outside the brackets). So, 24^3 = 13824.

So, the value of [(4 – 5(4 – 5)4 ] 3 is 13824.

This problem has been solved

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