Pre-Algebra Examples

$6 x^{5} \cdot (3 x^{5}) \cdot x^{0}$

Step 1

Remove unnecessary parentheses.

$6 x^{5} \cdot 3 x^{5} \cdot x^{0}$

Step 2

Combine exponents.

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Step 2.1

Multiply $3$ by $6$ .

$18 x^{5} x^{5} \cdot x^{0}$

Step 2.2

Multiply $x^{5}$ by $x^{5}$ by adding the exponents.

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Step 2.2.1

Move $x^{5}$ .

$18 (x^{5} x^{5}) \cdot x^{0}$

Step 2.2.2

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

$18 x^{5 + 5} \cdot x^{0}$

Step 2.2.3

Add $5$ and $5$ .

$18 x^{10} \cdot x^{0}$

Step 2.3

Multiply $x^{10}$ by $x^{0}$ by adding the exponents.

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Step 2.3.1

Move $x^{0}$ .

$18 (x^{0} x^{10})$

Step 2.3.2

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

$18 x^{0 + 10}$

Step 2.3.3

Add $0$ and $10$ .

$18 x^{10}$