Finite Math Examples

$5 g^{5} + 2 g^{4} - 4 + (4 g^{5} \cdot (9 g) + 2)$

Step 1

Remove parentheses.

$5 g^{5} + 2 g^{4} - 4 + 4 g^{5} \cdot (9 g) + 2$

Step 2

Simplify each term.

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Step 2.1

Rewrite using the commutative property of multiplication.

$5 g^{5} + 2 g^{4} - 4 + 4 \cdot 9 g^{5} g + 2$

Step 2.2

Multiply $g^{5}$ by $g$ by adding the exponents.

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Step 2.2.1

Move $g$ .

$5 g^{5} + 2 g^{4} - 4 + 4 \cdot 9 (g \cdot g^{5}) + 2$

Step 2.2.2

Multiply $g$ by $g^{5}$ .

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Step 2.2.2.1

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

$5 g^{5} + 2 g^{4} - 4 + 4 \cdot 9 (g^{1} g^{5}) + 2$

Step 2.2.2.2

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

$5 g^{5} + 2 g^{4} - 4 + 4 \cdot 9 g^{1 + 5} + 2$

Step 2.2.3

Add $1$ and $5$ .

$5 g^{5} + 2 g^{4} - 4 + 4 \cdot 9 g^{6} + 2$

Step 2.3

Multiply $4$ by $9$ .

$5 g^{5} + 2 g^{4} - 4 + 36 g^{6} + 2$

Step 3

Simplify the expression.

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Step 3.1

Add $- 4$ and $2$ .

$5 g^{5} + 2 g^{4} + 36 g^{6} - 2$

Step 3.2

Move $2 g^{4}$ .

$5 g^{5} + 36 g^{6} + 2 g^{4} - 2$

Step 3.3

Reorder $5 g^{5}$ and $36 g^{6}$ .

$36 g^{6} + 5 g^{5} + 2 g^{4} - 2$