Basic Math Examples

$55 b i^{5} \cdot (h \cdot h \cdot h^{7})$

Step 1

Multiply $h$ by $h$ .

$55 b i^{5} \cdot (h^{2} h^{7})$

Step 2

Multiply $h^{2}$ by $h^{7}$ by adding the exponents.

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Step 2.1

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

$55 b i^{5} \cdot h^{2 + 7}$

Step 2.2

Add $2$ and $7$ .

$55 b i^{5} \cdot h^{9}$

Step 3

Factor out $i^{4}$ .

$55 b (i^{4} i) \cdot h^{9}$

Step 4

Rewrite $i^{4}$ as $1$ .

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Step 4.1

Rewrite $i^{4}$ as ${(i^{2})}^{2}$ .

$55 b ({(i^{2})}^{2} i) \cdot h^{9}$

Step 4.2

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

$55 b ({(- 1)}^{2} i) \cdot h^{9}$

Step 4.3

Raise $- 1$ to the power of $2$ .

$55 b (1 i) \cdot h^{9}$

Step 5

Multiply $i$ by $1$ .

$55 b i h^{9}$