en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (6^{-1})(9^{3/2})

Solution

simplify

(6^{- 1}) (9^{\frac{3}{2}})

Solution

\frac{9}{2}

+1

Decimal Notation

4.5

Solution steps

(6^{- 1}) (9^{\frac{3}{2}})

(6^{- 1}) (9^{\frac{3}{2}}) = 6^{- 1} \cdot 9^{\frac{3}{2}}

= 6^{- 1} \cdot 9^{\frac{3}{2}}

Apply exponent rule:

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

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

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

Factor the number:

9 = 3^{2}

= \frac{1}{6} (3^{2})^{\frac{3}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(3^{2})^{\frac{3}{2}} = 3^{2 \cdot \frac{3}{2}}

= \frac{1}{6} \cdot 3^{2 \cdot \frac{3}{2}}

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

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

3^{3} = 27

= \frac{1}{6} \cdot 27

\frac{1}{6} \cdot 27 = \frac{9}{2}

= \frac{9}{2}

Popular Examples

factor x^3+5x^2-2x-10 factor

x^{3} + 5 x^{2} - 2 x - 10

factor 2a^2+11a+12 factor

2 a^{2} + 11 a + 12

simplify \sqrt[8]{8y^{16}}simplify

simplify 3*(-1^2)simplify

3 \cdot (- 1^{2})

simplify 8/5*1/2 simplify

\frac{8}{5} \cdot \frac{1}{2}

Frequently Asked Questions (FAQ)

What is (6^{-1})(9^{3/2}) ?
The solution to (6^{-1})(9^{3/2}) is 9/2