en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(((dy)/(dx))^3)

Solution

simplify

(\frac{d y}{d x})^{3}

Solution

\frac{d y}{d x}^{\frac{3}{2}}

Solution steps

(\frac{d y}{d x})^{3}

Apply radical rule:

a = a^{\frac{1}{2}}

= (\frac{d y}{d x}^{3})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= \frac{d y}{d x}^{3 \cdot \frac{1}{2}}

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

= \frac{d y}{d x}^{\frac{3}{2}}

Popular Examples

simplify (649.6)^3*(10^{-30})simplify

(649.6)^{3} \cdot (1 0^{- 30})

simplify (e^t)/(e^{-3t)}simplify

\frac{e ^{t}}{e ^{- 3 t}}

simplify-4.11*10^{-4}simplify

- 4.11 \cdot 1 0^{- 4}

simplify 2^kn^k simplify

2^{k} n^{k}

simplify \sqrt[3]{54.22}^2 simplify

Frequently Asked Questions (FAQ)

What is sqrt(((dy)/(dx))^3) ?
The solution to sqrt(((dy)/(dx))^3) is (dy)/(dx)^{3/2}