Algebra Examples

$0.3 y^{2} \cdot (- \frac{1}{3} x^{4} y^{6})$

Step 1

Multiply $y^{2}$ by $y^{6}$ by adding the exponents.

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Step 1.1

Move $y^{6}$ .

$0.3 (y^{6} y^{2}) \cdot (- \frac{1}{3} \cdot (x^{4}))$

Step 1.2

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

$0.3 y^{6 + 2} \cdot (- \frac{1}{3} \cdot (x^{4}))$

Step 1.3

Add $6$ and $2$ .

$0.3 y^{8} \cdot (- \frac{1}{3} \cdot (x^{4}))$

Step 2

Rewrite using the commutative property of multiplication.

$0.3 \cdot - 1 \frac{1}{3} y^{8} x^{4}$

Step 3

Cancel the common factor of $0.3$ .

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Step 3.1

Factor $0.3$ out of $0.3 \cdot - 1$ .

$0.3 (- 1) \frac{1}{3} y^{8} x^{4}$

Step 3.2

Factor $0.3$ out of $3$ .

$0.3 (- 1) \frac{1}{0.3 (10)} y^{8} x^{4}$

Step 3.3

Cancel the common factor.

$0.3 \cdot - 1 \frac{1}{0.3 \cdot 10} y^{8} x^{4}$

Step 3.4

Rewrite the expression.

$- \frac{1}{10} y^{8} x^{4}$

Step 4

Combine $y^{8}$ and $\frac{1}{10}$ .

$- \frac{y^{8}}{10} x^{4}$

Step 5

Combine $x^{4}$ and $\frac{y^{8}}{10}$ .

$- \frac{x^{4} y^{8}}{10}$