Basic Math Examples

$(- 6 \sqrt{a b}) (4 \sqrt{b})$

Step 1

Multiply $(- 6 \sqrt{a b}) (4 \sqrt{b})$ .

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Step 1.1

Multiply $4$ by $- 6$ .

$- 24 \sqrt{a b} \sqrt{b}$

Step 1.2

Combine using the product rule for radicals.

$- 24 \sqrt{b (a b)}$

Step 1.3

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

$- 24 \sqrt{a (b^{1} b)}$

Step 1.4

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

$- 24 \sqrt{a (b^{1} b^{1})}$

Step 1.5

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

$- 24 \sqrt{a b^{1 + 1}}$

Step 1.6

Add $1$ and $1$ .

$- 24 \sqrt{a b^{2}}$

Step 2

Reorder $a$ and $b^{2}$ .

$- 24 \sqrt{b^{2} a}$

Step 3

Pull terms out from under the radical.

$- 24 b \sqrt{a}$