Algebra Examples

$(- 6 h i^{3} j^{4}) (6 h^{2} i j^{3})$

Step 1

Multiply $h$ by $h^{2}$ by adding the exponents.

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Step 1.1

Move $h^{2}$ .

$- 6 (h^{2} h) i^{3} j^{4} (6 i j^{3})$

Step 1.2

Multiply $h^{2}$ by $h$ .

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Step 1.2.1

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

$- 6 (h^{2} h^{1}) i^{3} j^{4} (6 i j^{3})$

Step 1.2.2

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

$- 6 h^{2 + 1} i^{3} j^{4} (6 i j^{3})$

Step 1.3

Add $2$ and $1$ .

$- 6 h^{3} i^{3} j^{4} (6 i j^{3})$

Step 2

Multiply $j^{4}$ by $j^{3}$ by adding the exponents.

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Step 2.1

Move $j^{3}$ .

$- 6 h^{3} i^{3} (j^{3} j^{4}) (6 i)$

Step 2.2

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

$- 6 h^{3} i^{3} j^{3 + 4} (6 i)$

Step 2.3

Add $3$ and $4$ .

$- 6 h^{3} i^{3} j^{7} (6 i)$

Step 3

Factor out $i^{2}$ .

$- 6 h^{3} (i^{2} \cdot i) j^{7} (6 i)$

Step 4

Rewrite $i^{2}$ as $- 1$ .

$- 6 h^{3} (- 1 \cdot i) j^{7} (6 i)$

Step 5

Rewrite $- 1 i$ as $- i$ .

$- 6 h^{3} (- i) j^{7} (6 i)$

Step 6

Multiply $- 1$ by $- 6$ .

$6 h^{3} i j^{7} (6 i)$

Step 7

Multiply $6 h^{3} i j^{7} (6 i)$ .

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Step 7.1

Multiply $6$ by $6$ .

$36 h^{3} i j^{7} i$

Step 7.2

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

$36 h^{3} j^{7} (i^{1} i)$

Step 7.3

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

$36 h^{3} j^{7} (i^{1} i^{1})$

Step 7.4

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

$36 h^{3} j^{7} i^{1 + 1}$

Step 7.5

Add $1$ and $1$ .

$36 h^{3} j^{7} i^{2}$

Step 8

Rewrite $i^{2}$ as $- 1$ .

$36 h^{3} j^{7} \cdot - 1$

Step 9

Multiply $- 1$ by $36$ .

$- 36 h^{3} j^{7}$