Basic Math Examples

$(5 b^{3}) {(- 2 b)}^{3}$

Step 1

Apply the product rule to $- 2 b$ .

$5 b^{3} ({(- 2)}^{3} b^{3})$

Step 2

Rewrite using the commutative property of multiplication.

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

Step 3

Multiply $b^{3}$ by $b^{3}$ by adding the exponents.

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Step 3.1

Move $b^{3}$ .

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

Step 3.2

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

$5 \cdot {(- 2)}^{3} b^{3 + 3}$

Step 3.3

Add $3$ and $3$ .

$5 \cdot {(- 2)}^{3} b^{6}$

Step 4

Raise $- 2$ to the power of $3$ .

$5 \cdot - 8 b^{6}$

Step 5

Multiply $5$ by $- 8$ .

$- 40 b^{6}$