en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 54(3/2)^{-0.25(4)}

Solution

simplify

54 (\frac{3}{2})^{- 0.25 (4)}

Solution

36

Solution steps

54 (\frac{3}{2})^{- 0.25 (4)}

Apply rule:

(a) = a

(4) = 4

= 54 (\frac{3}{2})^{- 0.25 \cdot 4}

Apply exponent rule:

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

(\frac{3}{2})^{- 0.25 \cdot 4} = \frac{1}{( \frac{3}{2} ) ^{0.25 \cdot 4}}

= 54 \cdot \frac{1}{( \frac{3}{2} ) ^{0.25 \cdot 4}}

(\frac{3}{2})^{0.25 \cdot 4} = \frac{3}{2}

= 54 \cdot \frac{1}{\frac{3}{2}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= 54 \cdot \frac{2}{3}

54 \cdot \frac{2}{3} = 36

= 36

Popular Examples

simplify 20*e^{-0.8(0.7)}simplify

20 \cdot e^{- 0.8 (0.7)}

simplify ln(x^a)*ln(x^a)simplify

ln (x^{a}) \cdot ln (x^{a})

simplify 3x^2(m(m-1)x^{m-2})simplify

3 x^{2} (m (m - 1) x^{m - 2})

simplify 33982.481*60.4^{-0.935}simplify

33982.481 \cdot 60. 4^{- 0.935}

simplify 800000*e^{-0.14*31}simplify

800000 \cdot e^{- 0.14 \cdot 31}

Frequently Asked Questions (FAQ)

What is 54(3/2)^{-0.25(4)} ?
The solution to 54(3/2)^{-0.25(4)} is 36