What is (3/2 3^64^{-6})^2 ?

The solution to (3/2 3^64^{-6})^2 is 4782969/67108864

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3/2 3^64^{-6})^2

simplify

(\frac{3}{2} 3^{6} 4^{- 6})^{2}

\frac{4782969}{67108864}

Decimal Notation

0.07127 \dots

Solution steps

(\frac{3}{2} \cdot 3^{6} \cdot 4^{- 6})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(\frac{3}{2} \cdot 3^{6} \cdot 4^{- 6})^{2} = (\frac{3}{2})^{2} (3^{6})^{2} (4^{- 6})^{2}

= (\frac{3}{2})^{2} (3^{6})^{2} (4^{- 6})^{2}

(\frac{3}{2})^{2} = \frac{9}{4}

= \frac{9}{4} (3^{6})^{2} (4^{- 6})^{2}

(3^{6})^{2} = 531441

= \frac{9}{4} \cdot 531441 (4^{- 6})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(4^{- 6})^{2} = 4^{- 6 \cdot 2}

= \frac{9}{4} \cdot 531441 \cdot 4^{- 6 \cdot 2}

Multiply the numbers:

6 \cdot 2 = 12

= \frac{9}{4} \cdot 531441 \cdot 4^{- 12}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

4^{- 12} = \frac{1}{4 ^{12}}

= \frac{9}{4} \cdot 531441 \cdot \frac{1}{4 ^{12}}

4^{12} = 16777216

= \frac{9}{4} \cdot 531441 \cdot \frac{1}{16777216}

\frac{9}{4} \cdot 531441 \cdot \frac{1}{16777216} = \frac{4782969}{67108864}

= \frac{4782969}{67108864}

\frac{5 - i}{5 + i}

3^{8} \cdot 3^{5}

(\frac{1}{x - 2})^{2} + 2

- x^{2} + 2 + 3 x^{2} - 7 x + 8

y^{2} - y^{3}

What is (3/2 3^64^{-6})^2 ?
The solution to (3/2 3^64^{-6})^2 is 4782969/67108864