Basic Math Examples

${(- 5)}^{2} \cdot (19 (- 5)) - 6$

Step 1

Simplify each term.

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Step 1.1

Multiply ${(- 5)}^{2}$ by $- 5$ by adding the exponents.

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Step 1.1.1

Move $- 5$ .

$- 5 {(- 5)}^{2} \cdot 19 - 6$

Step 1.1.2

Multiply $- 5$ by ${(- 5)}^{2}$ .

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Step 1.1.2.1

Raise $- 5$ to the power of $1$ .

${(- 5)}^{1} {(- 5)}^{2} \cdot 19 - 6$

Step 1.1.2.2

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

${(- 5)}^{1 + 2} \cdot 19 - 6$

Step 1.1.3

Add $1$ and $2$ .

${(- 5)}^{3} \cdot 19 - 6$

Step 1.2

Raise $- 5$ to the power of $3$ .

$- 125 \cdot 19 - 6$

Step 1.3

Multiply $- 125$ by $19$ .

$- 2375 - 6$

Step 2

Subtract $6$ from $- 2375$ .

$- 2381$