en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 8^{1/4}*2^{1/4}

Solution

simplify

8^{\frac{1}{4}} \cdot 2^{\frac{1}{4}}

Solution

2

Solution steps

8^{\frac{1}{4}} \cdot 2^{\frac{1}{4}}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

8^{\frac{1}{4}} \cdot 2^{\frac{1}{4}} = (8 \cdot 2)^{\frac{1}{4}}

= (8 \cdot 2)^{\frac{1}{4}}

Multiply the numbers:

8 \cdot 2 = 16

= 1 6^{\frac{1}{4}}

Factor the number:

16 = 2^{4}

= (2^{4})^{\frac{1}{4}}

Apply exponent rule:

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

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

= 2

Popular Examples

simplify sqrt(9.78)*2*5.9*10^{-5}simplify

9.78 \cdot 2 \cdot 5.9 \cdot 1 0^{- 5}

simplify (2pi)/(3.14)x^{80}xsin(arccos(1/2))simplify

\frac{2 π}{3.14} x^{80} x sin (arccos (\frac{1}{2}))

simplify \sqrt[3]{\sqrt[4]{X}}simplify

simplify (4*10^3)(2.2*10^6)simplify

(4 \cdot 1 0^{3}) (2.2 \cdot 1 0^{6})

d/(d{x)}(({f}(x,y))((2{y}+5)e^{-{x}}))

\frac{d}{d x} ((f (x, y)) ((2 y + 5) e^{- x}))

Frequently Asked Questions (FAQ)

What is 8^{1/4}*2^{1/4} ?
The solution to 8^{1/4}*2^{1/4} is 2