What is (45^{1/3})/(9^{3/4)\times 15^{3/2}} ?

The solution to (45^{1/3})/(9^{3/4)\times 15^{3/2}} is 1/(45*5^{1/6)*3^{1/3}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (45^{1/3})/(9^{3/4)\times 15^{3/2}}

simplify

\frac{4 5 ^{\frac{1}{3}}}{9 ^{\frac{3}{4}} \cdot 1 5 ^{\frac{3}{2}}}

\frac{1}{45 \cdot 5 ^{\frac{1}{6}} \cdot 3 ^{\frac{1}{3}}}

Decimal Notation

0.01178 \dots

Solution steps

\frac{4 5 ^{\frac{1}{3}}}{9 ^{\frac{3}{4}} \cdot 1 5 ^{\frac{3}{2}}}

Factor

4 5^{\frac{1}{3}} : 9^{\frac{1}{3}} \cdot 5^{\frac{1}{3}}

= \frac{9 ^{\frac{1}{3}} \cdot 5 ^{\frac{1}{3}}}{9 ^{\frac{3}{4}} \cdot 1 5 ^{\frac{3}{2}}}

Simplify

\frac{9 ^{\frac{1}{3}}}{9 ^{\frac{3}{4}}} : \frac{1}{9 ^{\frac{5}{12}}}

= \frac{5 ^{\frac{1}{3}}}{9 ^{\frac{5}{12}} \cdot 1 5 ^{\frac{3}{2}}}

Factor

1 5^{\frac{3}{2}} : 5^{\frac{3}{2}} \cdot 3^{\frac{3}{2}}

= \frac{5 ^{\frac{1}{3}}}{9 ^{\frac{5}{12}} \cdot 5 ^{\frac{3}{2}} \cdot 3 ^{\frac{3}{2}}}

Simplify

\frac{5 ^{\frac{1}{3}}}{5 ^{\frac{3}{2}}} : \frac{1}{5 ^{\frac{7}{6}}}

= \frac{1}{9 ^{\frac{5}{12}} \cdot 5 ^{\frac{7}{6}} \cdot 3 ^{\frac{3}{2}}}

9^{\frac{5}{12}} \cdot 5^{\frac{7}{6}} \cdot 3^{\frac{3}{2}} = 45 \cdot 5^{\frac{1}{6}} \cdot 3^{\frac{1}{3}}

= \frac{1}{45 \cdot 5 ^{\frac{1}{6}} \cdot 3 ^{\frac{1}{3}}}

3 x^{2} + 10 x + 7 = 0

8 + 2 (x - 6) = - 2 + 2 x - 2

6 x^{2} - 66 x + 168

\frac{3 x - 6}{3} + 9 = 18

1.9 \cdot 1 0^{- 2} = \frac{( 9 \cdot 1 0 ^{9} ) ( 40 \cdot 1 0 ^{- 9} ) x}{( 120 \cdot 1 0 ^{- 2} ) ^{2}}

What is (45^{1/3})/(9^{3/4)\times 15^{3/2}} ?
The solution to (45^{1/3})/(9^{3/4)\times 15^{3/2}} is 1/(45*5^{1/6)*3^{1/3}}