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2^{3}\left(\frac{1}{4}+4\left(\frac{36}{12}\right)\right)

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Answer:

the answer to your expression is 128. Here is how you can simplify it step by step:

First, apply the exponent rules to the fractions inside the parentheses. You can raise the numerator and the denominator to the same power separately. For example, \left(\frac{1}{4}\right)^4 = \frac{14}{44} = \frac{1}{256}.

Next, simplify the fractions by dividing the numerator and the denominator by their greatest common factor. For example, \frac{36}{12} = \frac{36 \div 12}{12 \div 12} = \frac{3}{1} = 3.

Then, perform the arithmetic operations inside the parentheses according to the order of operations. You can use the acronym PEMDAS to remember the order: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. For example, \frac{1}{4} + 4 \times 3 = \frac{1}{4} + 12 = \frac{1 + 48}{4} = \frac{49}{4}.

After that, apply the exponent rules to the parentheses. You can multiply the exponents when raising a power to another power. For example, \left(\frac{49}{4}\right)^3 = \frac{493}{43} = \frac{117649}{64}.

Finally, multiply the fractions by multiplying the numerators and the denominators. You can also multiply the fractions by the whole numbers by treating them as fractions with denominator 1. For example, \frac{117649}{64} \times 2^2 = \frac{117649}{64} \times \frac{2^2}{1} = \frac{117649 \times 4}{64 \times 1} = \frac{470596}{64} = 128.

Explanation:

User BJ Patel
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