What is ((6-3)^3-2)/(-5^2) ?

The solution to ((6-3)^3-2)/(-5^2) is -1

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((6-3)^3-2)/(-5^2)

\frac{( 6 - 3 ) ^{3} - 2}{- 5 ^{2}}

- 1

Solution steps

\frac{( 6 - 3 ) ^{3} - 2}{- 5 ^{2}}

Solve

(6 - 3)^{3} - 2 : 25

Follow the PEMDAS order of operations

Calculate within parentheses

(6 - 3) : 3

6 - 3

6 - 3 = 3

= 3

= 3^{3} - 2

Calculate exponents

3^{3} : 27

3^{3}

3^{3} = 27

= 27

= 27 - 2

Add and subtract (left to right)

27 - 2 : 25

27 - 2

27 - 2 = 25

= 25

= 25

Solve

- 5^{2} : - 25

- 5^{2} = - 25

= - 25

= \frac{25}{- 25}

Simplify

\frac{25}{- 25} : - 1

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{25}{25}

Apply rule

\frac{a}{a} = 1

= - 1

= - 1

- 5^{2} - 9 + 15

5 (9)^{2}

5^{2} - 4 \cdot 2 \cdot 0

\frac{( 3 - 2 ) ( 6 - 7 ) - 2}{\frac{3}{3}}

[- 10 \div 5 - 12 + 2 (- 8 + 5)] - 15