The solution to (5-3^2)^3 is -64

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(5-3^2)^3

Solution

(5 - 3^{2})^{3}

- 64

Solution steps

(5 - 3^{2})^{3}

Follow the PEMDAS order of operations

Calculate within parentheses

(5 - 3^{2}) : - 4

5 - 3^{2}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 5 - 9

Add and subtract (left to right)

5 - 9 : - 4

5 - 9

5 - 9 = - 4

= - 4

= - 4

= (- 4)^{3}

Calculate exponents

(- 4)^{3} : - 64

(- 4)^{3}

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- 4)^{3} = - 4^{3} = - 64

= - 64

= - 64

\frac{6}{2 \cdot ( 2 + 1 )}

8 (2) + 5

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

(- 8 \times (- 6)) - 4^{2}

1 2^{2} + 2 8^{2}