What is ((2*3)^3)/(2^2*3^4) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

((23)^3)/(2^23^4)

\frac{( 2 \cdot 3 ) ^{3}}{2 ^{2} \cdot 3 ^{4}}

\frac{2}{3}

Solution steps

\frac{( 2 \cdot 3 ) ^{3}}{2 ^{2} \cdot 3 ^{4}}

Solve

(2 \cdot 3)^{3} : 216

Follow the PEMDAS order of operations

Calculate within parentheses

(2 \cdot 3) : 6

2 \cdot 3

2 \cdot 3 = 6

= 6

= 6^{3}

Calculate exponents

6^{3} : 216

6^{3}

6^{3} = 216

= 216

= 216

Solve

2^{2} \cdot 3^{4} : 324

Follow the PEMDAS order of operations

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= 4 \cdot 3^{4}

Calculate exponents

3^{4} : 81

3^{4}

3^{4} = 81

= 81

= 4 \cdot 81

Multiply and divide (left to right)

4 \cdot 81 : 324

4 \cdot 81

4 \cdot 81 = 324

= 324

= 324

= \frac{216}{324}

Cancel the common factor:

108

= \frac{2}{3}

(3 + \frac{1}{4}) + \frac{25}{2}

9 \cdot 5^{4}

6 \times 6^{2}

- 51 + 7 - 32 + 91

(- 5 + 5) (- 5 - 3)