What is (3^2-2^3)^{66} ?

The solution to (3^2-2^3)^{66} is 1

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(3^2-2^3)^{66}

(3^{2} - 2^{3})^{66}

1

Solution steps

(3^{2} - 2^{3})^{66}

Follow the PEMDAS order of operations

Calculate within parentheses

(3^{2} - 2^{3}) : 1

3^{2} - 2^{3}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 9 - 2^{3}

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= 9 - 8

Add and subtract (left to right)

9 - 8 : 1

9 - 8

9 - 8 = 1

= 1

= 1

= 1^{66}

Calculate exponents

1^{66} : 1

1^{66}

1^{66} = 1

= 1

= 1

5^{2} - [6 - 2 - (1 - 8) - 3 + 6] + 5

(2 \frac{5}{8} + 2 \frac{1}{2}) - 4 \frac{2}{3}

2 + (8 \div 4) - (- 2 \times 3) + 9 \div (- 3)

\frac{( 8 ^{2} - 56 )}{2 ^{3}}

9 (15 \div (6 - 1) - (9 - 3) \div 2)