en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2^{1/2}*2^3

Solution

simplify

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

Solution

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

+1

Decimal Notation

11.31370 \dots

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

= 2^{\frac{1}{2} + 3}

\frac{1}{2} + 3 = \frac{7}{2}

= 2^{\frac{7}{2}}

2^{\frac{7}{2}} = 2^{3 + \frac{1}{2}}

= 2^{3 + \frac{1}{2}}

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

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

2^{3} = 8

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

Popular Examples

simplify (2i-1)^2(4/(1-i)+(2-i)/(1+i))simplify

(2 i - 1)^{2} (\frac{4}{1 - i} + \frac{2 - i}{1 + i})

simplify (-1+2i)/(-1-2i)simplify

\frac{- 1 + 2 i}{- 1 - 2 i}

simplify (2(-0.49)+1)/(1/4-(-0.49)^2)simplify

\frac{2 ( - 0.49 ) + 1}{\frac{1}{4} - ( - 0.49 ) ^{2}}

(2x)/3+5=(5x)/3+2

\frac{2 x}{3} + 5 = \frac{5 x}{3} + 2

simplify (1/2)^{15}simplify

(\frac{1}{2})^{15}

Frequently Asked Questions (FAQ)

What is 2^{1/2}*2^3 ?
The solution to 2^{1/2}*2^3 is 8*2^{1/2}