Pre-Algebra Examples

$(6 n^{5}) \cdot 2^{- 1} n^{7}$

Step 1

Rewrite using the commutative property of multiplication.

$6 \cdot 2^{- 1} n^{5} n^{7}$

Step 2

Multiply $n^{5}$ by $n^{7}$ by adding the exponents.

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Step 2.1

Move $n^{7}$ .

$6 \cdot 2^{- 1} (n^{7} n^{5})$

Step 2.2

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

$6 \cdot 2^{- 1} n^{7 + 5}$

Step 2.3

Add $7$ and $5$ .

$6 \cdot 2^{- 1} n^{12}$

Step 3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$6 \cdot \frac{1}{2} n^{12}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $6$ .

$2 (3) \cdot \frac{1}{2} n^{12}$

Step 4.2

Cancel the common factor.

$2 \cdot 3 \cdot \frac{1}{2} n^{12}$

Step 4.3

Rewrite the expression.

$3 n^{12}$