Basic Math Examples

$- \frac{50}{\sqrt{25}} \cdot 2 - 6 (- (- \frac{2^{4}}{(- 2) \cdot 3}))$

Step 1

Simplify each term.

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Step 1.1

Simplify the denominator.

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Step 1.1.1

Rewrite $25$ as $5^{2}$ .

$- \frac{50}{\sqrt{5^{2}}} \cdot 2 - 6 (- (- \frac{2^{4}}{(- 2) \cdot 3}))$

Step 1.1.2

Pull terms out from under the radical, assuming positive real numbers.

$- \frac{50}{5} \cdot 2 - 6 (- (- \frac{2^{4}}{(- 2) \cdot 3}))$

Step 1.2

Divide $50$ by $5$ .

$- 1 \cdot 10 \cdot 2 - 6 (- (- \frac{2^{4}}{(- 2) \cdot 3}))$

Step 1.3

Multiply $- 1 \cdot 10 \cdot 2$ .

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Step 1.3.1

Multiply $- 1$ by $10$ .

$- 10 \cdot 2 - 6 (- (- \frac{2^{4}}{(- 2) \cdot 3}))$

Step 1.3.2

Multiply $- 10$ by $2$ .

$- 20 - 6 (- (- \frac{2^{4}}{(- 2) \cdot 3}))$

Step 1.4

Cancel the common factor of $2^{4}$ and $- 2$ .

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Step 1.4.1

Rewrite $2$ as $- 1 (- 2)$ .

$- 20 - 6 (- - \frac{{(- 1 (- 2))}^{4}}{(- 2) \cdot 3})$

Step 1.4.2

Apply the product rule to $- 1 (- 2)$ .

$- 20 - 6 (- - \frac{{(- 1)}^{4} {(- 2)}^{4}}{(- 2) \cdot 3})$

Step 1.4.3

Raise $- 1$ to the power of $4$ .

$- 20 - 6 (- - \frac{1 {(- 2)}^{4}}{(- 2) \cdot 3})$

Step 1.4.4

Multiply ${(- 2)}^{4}$ by $1$ .

$- 20 - 6 (- - \frac{{(- 2)}^{4}}{(- 2) \cdot 3})$

Step 1.4.5

Factor $- 2$ out of ${(- 2)}^{4}$ .

$- 20 - 6 (- - \frac{- 2 {(- 2)}^{3}}{(- 2) \cdot 3})$

Step 1.4.6

Cancel the common factors.

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Step 1.4.6.1

Factor $- 2$ out of $(- 2) \cdot 3$ .

$- 20 - 6 (- - \frac{- 2 {(- 2)}^{3}}{(- 2) (3)})$

Step 1.4.6.2

Cancel the common factor.

$- 20 - 6 (- - \frac{- 2 {(- 2)}^{3}}{- 2 \cdot 3})$

Step 1.4.6.3

Rewrite the expression.

$- 20 - 6 (- - \frac{{(- 2)}^{3}}{3})$

Step 1.5

Raise $- 2$ to the power of $3$ .

$- 20 - 6 (- - \frac{- 8}{3})$

Step 1.6

Move the negative in front of the fraction.

$- 20 - 6 (- - - \frac{8}{3})$

Step 1.7

Multiply $- - \frac{8}{3}$ .

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Step 1.7.1

Multiply $- 1$ by $- 1$ .

$- 20 - 6 (- (1 (\frac{8}{3})))$

Step 1.7.2

Multiply $\frac{8}{3}$ by $1$ .

$- 20 - 6 (- \frac{8}{3})$

Step 1.8

Cancel the common factor of $3$ .

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Step 1.8.1

Move the leading negative in $- \frac{8}{3}$ into the numerator.

$- 20 - 6 (\frac{- 8}{3})$

Step 1.8.2

Factor $3$ out of $- 6$ .

$- 20 + 3 (- 2) \frac{- 8}{3}$

Step 1.8.3

Cancel the common factor.

$- 20 + 3 \cdot - 2 \frac{- 8}{3}$

Step 1.8.4

Rewrite the expression.

$- 20 - 2 \cdot - 8$

Step 1.9

Multiply $- 2$ by $- 8$ .

$- 20 + 16$

Step 2

Add $- 20$ and $16$ .

$- 4$