en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 32(-2)^{-5}

Solution

simplify

32 (- 2)^{- 5}

Solution

- 1

Solution steps

32 (- 2)^{- 5}

Apply exponent rule:

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

(- 2)^{- 5} = \frac{1}{( - 2 ) ^{5}}

= 32 \cdot \frac{1}{( - 2 ) ^{5}}

(- 2)^{5} = - 32

= 32 \cdot \frac{1}{- 32}

Apply the fraction rule:

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

= 32 (- \frac{1}{32})

Apply rule:

a (- b) = - ab

32 (- \frac{1}{32}) = - 32 \cdot \frac{1}{32}

= - 32 \cdot \frac{1}{32}

Convert element to fraction:

32 = \frac{32}{1}

= - \frac{32}{1} \cdot \frac{1}{32}

Cross-cancel common factor:

32

= - 1

Popular Examples

simplify 4i(-7+i)simplify

4 i (- 7 + i)

factor 13a-26b+39c factor

13 a - 26 b + 39 c

simplify 7.5*10^3 simplify

7.5 \cdot 1 0^{3}

simplify-5k+3(6+7k)simplify

- 5 k + 3 (6 + 7 k)

simplify 2s(5-4)simplify

2 s (5 - 4)

Frequently Asked Questions (FAQ)

What is 32(-2)^{-5} ?
The solution to 32(-2)^{-5} is -1