What is simplify-2^4*5+(16)/((-2)^3) ?

The solution to simplify-2^4*5+(16)/((-2)^3) is -82

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-2^4*5+(16)/((-2)^3)

simplify

- 2^{4} \cdot 5 + \frac{16}{( - 2 ) ^{3}}

- 82

Solution steps

- 2^{4} \cdot 5 + \frac{16}{( - 2 ) ^{3}}

- 2^{4} \cdot 5 = - 80

- 2^{4} \cdot 5

2^{4} = 16

= - 16 \cdot 5

Multiply the numbers:

- 16 \cdot 5 = - 80

= - 80

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

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

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- 2)^{3} = - 2^{3}

= \frac{16}{- 2 ^{3}}

Factor the number:

16 = 2^{4}

= \frac{2 ^{4}}{- 2 ^{3}}

\frac{2 ^{4}}{2 ^{3}} = 2

\frac{2 ^{4}}{2 ^{3}}

Apply exponent rule:

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

= 2^{4 - 3}

Subtract the numbers:

4 - 3 = 1

= 2^{1}

Apply exponent rule:

a^{1} = a

= 2

= \frac{2}{- 1}

Apply the fraction rule:

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

= - 2

= - 80 - 2

Subtract the numbers:

- 80 - 2 = - 82

= - 82

\frac{135}{[ 5 ( 7 - 4 ) ^{2} ]}

\frac{14000}{40000}

3 (2)^{2}

- 2 (- 2)^{2} + (- 2)^{6} - 4 (- 2) + 1

26 \cdot 26

What is simplify-2^4*5+(16)/((-2)^3) ?
The solution to simplify-2^4*5+(16)/((-2)^3) is -82