en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (16/25)^{(-3)/2}

Solution

simplify

(\frac{16}{25})^{\frac{- 3}{2}}

Solution

\frac{125}{64}

+1

Decimal Notation

1.953125

Solution steps

(\frac{16}{25})^{\frac{- 3}{2}}

Apply exponent rule:

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

= \frac{1 6 ^{\frac{- 3}{2}}}{2 5 ^{\frac{- 3}{2}}}

1 6^{\frac{- 3}{2}} = \frac{1}{64}

= \frac{\frac{1}{64}}{2 5 ^{\frac{- 3}{2}}}

2 5^{\frac{- 3}{2}} = \frac{1}{125}

= \frac{\frac{1}{64}}{\frac{1}{125}}

\frac{\frac{1}{64}}{\frac{1}{125}} = \frac{125}{64}

= \frac{125}{64}

Popular Examples

simplify 7/(-2+sqrt(13))simplify

\frac{7}{- 2 + 13}

simplify 6x(2x-3)-5(2x^2+9x-3)simplify

6 x (2 x - 3) - 5 (2 x^{2} + 9 x - 3)

simplify 11*(-6)simplify

11 \cdot (- 6)

simplify 11*(-1)simplify

11 \cdot (- 1)

factor 9x-25x^3 factor

9 x - 25 x^{3}

Frequently Asked Questions (FAQ)

What is (16/25)^{(-3)/2} ?
The solution to (16/25)^{(-3)/2} is 125/64