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

The solution to (6^3)/(2^5*3^3) is 1/4

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

\frac{6 ^{3}}{2 ^{5} \cdot 3 ^{3}}

\frac{1}{4}

Solution steps

\frac{6 ^{3}}{2 ^{5} \cdot 3 ^{3}}

Solve

6^{3} : 216

6^{3} = 216

= 216

Solve

2^{5} \cdot 3^{3} : 864

Follow the PEMDAS order of operations

Calculate exponents

2^{5} : 32

2^{5}

2^{5} = 32

= 32

= 32 \cdot 3^{3}

Calculate exponents

3^{3} : 27

3^{3}

3^{3} = 27

= 27

= 32 \cdot 27

Multiply and divide (left to right)

32 \cdot 27 : 864

32 \cdot 27

32 \cdot 27 = 864

= 864

= 864

= \frac{216}{864}

Cancel the common factor:

216

= \frac{1}{4}

48 \div (8 \div 2) - 1 \cdot 2

- (- 2)^{3} - 3 (- 2)^{2} + 4

\frac{- 20 + 2 \cdot 3}{8 \div ( - 2 ) + 2}

- \frac{9}{2} \times (- 10) - 18

29 - (8 + 15) - 27