Algebra Examples

$5 x^{10} \cdot 10 x^{9} \cdot - 5 x^{6}$

Step 1

Multiply $x^{10}$ by $x^{9}$ by adding the exponents.

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Step 1.1

Move $x^{9}$ .

$5 (x^{9} x^{10}) \cdot 10 \cdot (- 5 x^{6})$

Step 1.2

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

$5 x^{9 + 10} \cdot 10 \cdot (- 5 x^{6})$

Step 1.3

Add $9$ and $10$ .

$5 x^{19} \cdot 10 \cdot (- 5 x^{6})$

Step 2

Multiply $x^{19}$ by $x^{6}$ by adding the exponents.

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Step 2.1

Move $x^{6}$ .

$5 (x^{6} x^{19}) \cdot 10 \cdot - 5$

Step 2.2

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

$5 x^{6 + 19} \cdot 10 \cdot - 5$

Step 2.3

Add $6$ and $19$ .

$5 x^{25} \cdot 10 \cdot - 5$

Step 3

Multiply $10$ by $5$ .

$50 x^{25} \cdot - 5$

Step 4

Multiply $- 5$ by $50$ .

$- 250 x^{25}$