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This evaluation follows the established order of operations commonly used in mathematics, often abbreviated as pemdas (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right). The steps include evaluating multiplication, addition, and then the final multiplication to arrive at the answer. To evaluate the composition, you need to find the value of function f first

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But, f (0) is 1 over 0, and division by 0 is undefined This involves performing operations inside the innermost brackets first and then systematically working outward Therefore, you cannot find the value of the composition.

Rewrite the expression using the definition of a negative exponent

Recall that for any nonzero number a, a−n = an1 Evaluate 641/3, which is the cube root of 64 Since 43 = 64, it follows that 641/3 = 4 Substitute the cube root value back into the expression:

To evaluate the expression n2 −3n + 8, we first recognize that this is a quadratic expression in terms of the variable n Understanding the expression the expression is composed of three terms The first term is n2, which is the variable n raised to the power of 2 The second term is −3n, which is a linear term involving n

The third term is +8, which is a constant

To evaluate 81−3/4, we rewrite it as 811 and find that it equals 271 This results in a decimal approximation of 0.037037037 The final answer is therefore 271 or approximately 0.037. To evaluate the expression 3 −54 ⋅ 3 21, we can use the property of cube roots that states 3 a⋅ 3 b = 3 a⋅ b

Therefore, we can combine the two cube roots into one: To evaluate the expression (2 − 3) ⋅ 4− 9 ÷ 3, we follow the order of operations and find the result is 1. To evaluate 3[5 + 3[10 + 4 ⋅8]], we follow the order of operations resulting in the final answer of 393