Simplify -5*2^4+6÷2-4^2

$- 5 \cdot 2^{4} + 6 \div 2 - 4^{2}$

Step 1

Find the common denominator.

Write $- 5 \cdot 2^{4}$ as a fraction with denominator $1$ .

$\frac{- 5 \cdot 2^{4}}{1} + 6 \div 2 - 4^{2}$

Multiply $\frac{- 5 \cdot 2^{4}}{1}$ by $\frac{2}{2}$ .

$\frac{- 5 \cdot 2^{4}}{1} \cdot \frac{2}{2} + 6 \div 2 - 4^{2}$

Multiply $\frac{- 5 \cdot 2^{4}}{1}$ by $\frac{2}{2}$ .

$\frac{- 5 \cdot 2^{4} \cdot 2}{2} + 6 \div 2 - 4^{2}$

Write $- 4^{2}$ as a fraction with denominator $1$ .

$\frac{- 5 \cdot 2^{4} \cdot 2}{2} + 6 \div 2 + \frac{- 4^{2}}{1}$

Multiply $\frac{- 4^{2}}{1}$ by $\frac{2}{2}$ .

$\frac{- 5 \cdot 2^{4} \cdot 2}{2} + 6 \div 2 + \frac{- 4^{2}}{1} \cdot \frac{2}{2}$

Multiply $\frac{- 4^{2}}{1}$ by $\frac{2}{2}$ .

$\frac{- 5 \cdot 2^{4} \cdot 2}{2} + 6 \div 2 + \frac{- 4^{2} \cdot 2}{2}$

Step 2

Combine the numerators over the common denominator.

$\frac{- 5 \cdot 2^{4} \cdot 2 + 6 - 4^{2} \cdot 2}{2}$

Step 3

Simplify each term.

Multiply $2^{4}$ by $2$ by adding the exponents.

Move $2$ .

$\frac{- 5 \cdot (2 \cdot 2^{4}) + 6 - 4^{2} \cdot 2}{2}$

Multiply $2$ by $2^{4}$ .

Raise $2$ to the power of $1$ .

$\frac{- 5 \cdot (2^{1} \cdot 2^{4}) + 6 - 4^{2} \cdot 2}{2}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{- 5 \cdot 2^{1 + 4} + 6 - 4^{2} \cdot 2}{2}$

Add $1$ and $4$ .

$\frac{- 5 \cdot 2^{5} + 6 - 4^{2} \cdot 2}{2}$

Raise $2$ to the power of $5$ .

$\frac{- 5 \cdot 32 + 6 - 4^{2} \cdot 2}{2}$

Multiply $- 5$ by $32$ .

$\frac{- 160 + 6 - 4^{2} \cdot 2}{2}$

Raise $4$ to the power of $2$ .

$\frac{- 160 + 6 - 1 \cdot 16 \cdot 2}{2}$

Multiply $- 1 \cdot 16 \cdot 2$ .

Multiply $- 1$ by $16$ .

$\frac{- 160 + 6 - 16 \cdot 2}{2}$

Multiply $- 16$ by $2$ .

$\frac{- 160 + 6 - 32}{2}$

Step 4

Simplify the expression.

Add $- 160$ and $6$ .

$\frac{- 154 - 32}{2}$

Subtract $32$ from $- 154$ .

$\frac{- 186}{2}$

Divide $- 186$ by $2$ .

$- 93$

Simplify -5*2^4+6÷2-4^2

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