Basic Math Examples

$(- 8 a^{5}) (7 a^{3} b^{6})$

Step 1

Multiply $a^{5}$ by $a^{3}$ by adding the exponents.

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Step 1.1

Move $a^{3}$ .

$- 8 (a^{3} a^{5}) (7 b^{6})$

Step 1.2

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

$- 8 a^{3 + 5} (7 b^{6})$

Step 1.3

Add $3$ and $5$ .

$- 8 a^{8} (7 b^{6})$

Step 2

Rewrite using the commutative property of multiplication.

$- 8 \cdot 7 a^{8} b^{6}$

Step 3

Multiply $- 8$ by $7$ .

$- 56 a^{8} b^{6}$