en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify aa^{3/4}b^{-3}

Solution

simplify

a \cdot a^{\frac{3}{4}} \cdot b^{- 3}

Solution

\frac{a ^{\frac{7}{4}}}{b ^{3}}

Solution steps

a a^{\frac{3}{4}} b^{- 3}

Simplify

a a^{\frac{3}{4}} : a^{\frac{7}{4}}

= a^{\frac{7}{4}} b^{- 3}

Apply exponent rule:

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

b^{- 3} = \frac{1}{b ^{3}}

= \frac{1}{b ^{3}} a^{\frac{7}{4}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot a ^{\frac{7}{4}}}{b ^{3}}

Multiply:

1 \cdot a^{\frac{7}{4}} = a^{\frac{7}{4}}

= \frac{a ^{\frac{7}{4}}}{b ^{3}}

Popular Examples

expand (a-1)x^2+(2-3a)x+20 expand

(a - 1) x^{2} + (2 - 3 a) x + 20

simplify (2a*sqrt(3))^2 simplify

(2 a \cdot 3)^{2}

simplify [(x^4)/4-x^3-(x^2)/2+3x]_{0}^1 simplify

[\frac{x ^{4}}{4} - x^{3} - \frac{x ^{2}}{2} + 3 x]_{0}^{1}

simplify (d^{-5})^{-2}simplify

(d^{- 5})^{- 2}

expand log_{10}(x)(x-2)expand

lo g_{10} (x) (x - 2)

Frequently Asked Questions (FAQ)

What is a*a^{3/4}*b^{-3} ?
The solution to a*a^{3/4}*b^{-3} is (a^{7/4})/(b^3)