What is 5((7-4)^2)/3+11 ?

The solution to 5((7-4)^2)/3+11 is 26

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5((7-4)^2)/3+11

simplify

5 \frac{( 7 - 4 ) ^{2}}{3} + 11

26

Solution steps

5 \cdot \frac{( 7 - 4 ) ^{2}}{3} + 11

5 \cdot \frac{( 7 - 4 ) ^{2}}{3} = 15

5 \cdot \frac{( 7 - 4 ) ^{2}}{3}

Cancel

\frac{( 7 - 4 ) ^{2}}{3} : 3

\frac{( 7 - 4 ) ^{2}}{3}

Subtract the numbers:

7 - 4 = 3

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

3^{2} = 3 \cdot 3

= \frac{3 \cdot 3}{3}

Cancel the common factor:

3

= 3

= 5 \cdot 3

Multiply the numbers:

5 \cdot 3 = 15

= 15

= 15 + 11

15 + 11 = 26

15 + 11

Line up the numbers

+ 1151

Add each column of digits, starting on the right and working left.

If the sum of a column is more than ten, 'carry' digits to the next column on the left.

Add the digits of the bolded column:

5 + 1 = 6

\frac{+ 1 1 5 1}{6}

Add the digits of the bolded column:

1 + 1 = 2

\frac{+ 1 1 5 1}{2 6}

26

= 26

\frac{108}{2}

(3 - 2)^{5} - 7 (1 + 4)^{2} + 80

0.75

10 - 9 \cdot (- 6)

- 8 - (- 10)^{2}