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What is the solution to the equation: \( 4x^4 - 8x \times 23 = 8 \)?

Answer :

Mathematical expressions must follow the order of operations. In multiplication, significant figures are reported based on the smallest number present in the calculation, with exceptions when multiplying by an integer.

When solving mathematical expressions or equations, it is important to follow the order of operations and apply the correct rules for significant figures. For example, when we calculate 4x4 - 8x23 = 8, we follow the order of operations: multiplication before subtraction, yielding a result after performing the operations.

When dealing with significant figures in multiplication, the answer should be reported with the same number of significant figures as the number with the fewest significant figures in the calculation. For instance, if we multiply 42.9 imes 8.323 = 357.057, we report it as 357 because 42.9 has only three significant figures. However, an exception to this rule occurs when multiplying by an integer, such as in the case of 12.793 imes 12. Here, we would use the number of significant figures in 12.793 since the multiplication is akin to adding 12.793 to itself 12 times, producing 155.516.

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