en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 16^{(-7)/4}

Solution

simplify

1 6^{\frac{- 7}{4}}

Solution

\frac{1}{128}

+1

Solution steps

1 6^{\frac{- 7}{4}}

Factor the number:

16 = 2^{4}

= (2^{4})^{\frac{- 7}{4}}

Apply exponent rule:

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

= 2^{4 \cdot \frac{- 7}{4}}

4 \cdot \frac{- 7}{4} = - 7

= 2^{- 7}

Apply exponent rule:

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

2^{- 7} = \frac{1}{2 ^{7}}

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

2^{7} = 128

= \frac{1}{128}

Popular Examples

simplify 9*3/5 simplify

9 \cdot \frac{3}{5}

factor 15x^2+29xy-14y^2 factor

15 x^{2} + 29 x y - 14 y^{2}

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

factor (x+2)^2-(y+1)^2 factor

(x + 2)^{2} - (y + 1)^{2}

factor 8m^2-2mn-n^2 factor

8 m^{2} - 2 mn - n^{2}

Frequently Asked Questions (FAQ)

What is 16^{(-7)/4} ?
The solution to 16^{(-7)/4} is 1/128