What is (10^2-(100+8^2))/(2^3) ?

The solution to (10^2-(100+8^2))/(2^3) is -8

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(10^2-(100+8^2))/(2^3)

\frac{1 0 ^{2} - ( 100 + 8 ^{2} )}{2 ^{3}}

- 8

Solution steps

\frac{1 0 ^{2} - ( 100 + 8 ^{2} )}{2 ^{3}}

Solve

1 0^{2} - (100 + 8^{2}) : - 64

Follow the PEMDAS order of operations

Calculate within parentheses

(100 + 8^{2}) : 164

100 + 8^{2}

Calculate exponents

8^{2} : 64

8^{2}

8^{2} = 64

= 64

= 100 + 64

Add and subtract (left to right)

100 + 64 : 164

100 + 64

100 + 64 = 164

= 164

= 164

= 1 0^{2} - 164

Calculate exponents

1 0^{2} : 100

1 0^{2}

1 0^{2} = 100

= 100

= 100 - 164

Add and subtract (left to right)

100 - 164 : - 64

100 - 164

100 - 164 = - 64

= - 64

= - 64

Solve

2^{3} : 8

2^{3} = 8

= 8

= \frac{- 64}{8}

Simplify

\frac{- 64}{8} : - 8

Apply the fraction rule:

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

= - \frac{64}{8}

Divide the numbers:

\frac{64}{8} = 8

= - 8

= - 8

3 (4) + 5

7 5^{2} + 10 0^{2}

33 \div 11 - 2 \cdot (28 - 2 \cdot 21)

(- 1)^{30} + (- 1)^{31}

3^{2} \cdot \frac{2}{10}