Basic Math Examples

$- \frac{3 r}{5} \cdot (15 r^{2})$

Step 1

Cancel the common factor of $5$ .

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Step 1.1

Move the leading negative in $- \frac{3 r}{5}$ into the numerator.

$\frac{- 3 r}{5} \cdot (15 r^{2})$

Step 1.2

Factor $5$ out of $15 r^{2}$ .

$\frac{- 3 r}{5} \cdot (5 (3 r^{2}))$

Step 1.3

Cancel the common factor.

$\frac{- 3 r}{5} \cdot (5 (3 r^{2}))$

Step 1.4

Rewrite the expression.

$- 3 r \cdot (3 r^{2})$

Step 2

Multiply $3$ by $- 3$ .

$- 9 r \cdot r^{2}$

Step 3

Multiply $r$ by $r^{2}$ by adding the exponents.

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Step 3.1

Move $r^{2}$ .

$- 9 (r^{2} r)$

Step 3.2

Multiply $r^{2}$ by $r$ .

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Step 3.2.1

Raise $r$ to the power of $1$ .

$- 9 (r^{2} r^{1})$

Step 3.2.2

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

$- 9 r^{2 + 1}$

Step 3.3

Add $2$ and $1$ .

$- 9 r^{3}$