Basic Math Examples

$(0.5 a^{z + 1}) (0.2 a^{z + 2} b^{w})$

Step 1

Multiply $a^{z + 1}$ by $a^{z + 2}$ by adding the exponents.

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Step 1.1

Move $a^{z + 2}$ .

$0.5 (a^{z + 2} a^{z + 1}) (0.2 b^{w})$

Step 1.2

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

$0.5 a^{z + 2 + z + 1} (0.2 b^{w})$

Step 1.3

Add $z$ and $z$ .

$0.5 a^{2 z + 2 + 1} (0.2 b^{w})$

Step 1.4

Add $2$ and $1$ .

$0.5 a^{2 z + 3} (0.2 b^{w})$

Step 2

Rewrite using the commutative property of multiplication.

$0.5 \cdot 0.2 a^{2 z + 3} b^{w}$

Step 3

Multiply $0.5$ by $0.2$ .

$0.1 a^{2 z + 3} b^{w}$