Precalculus Examples

$b^{8} {(2 b)}^{7}$

Step 1

Apply the product rule to $2 b$ .

$b^{8} (2^{7} b^{7})$

Step 2

Rewrite using the commutative property of multiplication.

$2^{7} b^{8} b^{7}$

Step 3

Multiply $b^{8}$ by $b^{7}$ by adding the exponents.

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Step 3.1

Move $b^{7}$ .

$2^{7} (b^{7} b^{8})$

Step 3.2

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

$2^{7} b^{7 + 8}$

Step 3.3

Add $7$ and $8$ .

$2^{7} b^{15}$

Step 4

Raise $2$ to the power of $7$ .

$128 b^{15}$