What is 4^3\div ((28-3^3)+121\div 11^2)^3 ?

The solution to 4^3\div ((28-3^3)+121\div 11^2)^3 is 8

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4^3\div ((28-3^3)+121\div 11^2)^3

4^{3} \div ((28 - 3^{3}) + 121 \div 1 1^{2})^{3}

8

Solution steps

4^{3} \div ((28 - 3^{3}) + 121 \div 1 1^{2})^{3}

Follow the PEMDAS order of operations

Calculate within parentheses

((28 - 3^{3}) + 121 \div 1 1^{2}) : 2

= 4^{3} \div 2^{3}

Calculate exponents

4^{3} : 64

= 64 \div 2^{3}

Calculate exponents

2^{3} : 8

= 64 \div 8

Multiply and divide (left to right)

64 \div 8 : 8

= 8

\frac{3 ^{5}}{1 + 2 ^{5}}

- 2 (1)^{2} + 8 (1) - 5

- 2^{2} - 2 \cdot (- 2) - 3

\frac{3 ^{2} + 8}{3 ^{3} - 25 ( 3 )}

\frac{1}{2} \times 2 - 3

What is 4^3\div ((28-3^3)+121\div 11^2)^3 ?
The solution to 4^3\div ((28-3^3)+121\div 11^2)^3 is 8