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

The solution to 2/((5-3)^3) is 1/4

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2/((5-3)^3)

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

\frac{1}{4}

Solution steps

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

Solve

(5 - 3)^{3} : 8

Follow the PEMDAS order of operations

Calculate within parentheses

(5 - 3) : 2

5 - 3

5 - 3 = 2

= 2

= 2^{3}

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= 8

= \frac{2}{8}

Cancel the common factor:

2

= \frac{1}{4}

- 9 + 12 - 2 - 5

3 5^{2} + 8 4^{2}

10 2^{2} - 9 8^{2}

(- 1)^{2} + 4 (- 1) + 4

9 - 5 \frac{1}{6} - 4 \frac{1}{12}