What is 8^2-(16)/(2^2)*4-3 ?

The solution to 8^2-(16)/(2^2)*4-3 is 45

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 8^2-(16)/(2^2)*4-3

simplify

8^{2} - \frac{16}{2 ^{2}} \cdot 4 - 3

45

Solution steps

8^{2} - \frac{16}{2 ^{2}} \cdot 4 - 3

8^{2} = 64

8^{2}

8^{2} = 64

= 64

\frac{16}{2 ^{2}} \cdot 4 = 16

\frac{16}{2 ^{2}} \cdot 4

Cancel

\frac{16}{2 ^{2}} : 4

\frac{16}{2 ^{2}}

Factor the number:

16 = 2^{4}

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

Apply exponent rule:

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

= 2^{4 - 2}

Subtract the numbers:

4 - 2 = 2

= 2^{2}

2^{2} = 4

= 4

= 4 \cdot 4

Multiply the numbers:

4 \cdot 4 = 16

= 16

= 64 - 16 - 3

Subtract the numbers:

64 - 16 - 3 = 45

= 45

(17 - 3) \cdot (14 - 6) - 22

0.5 \cdot 4

1 + 23 + 2 + 3

40 \cdot 40

15 + 18