Algebra Examples

$(4 f^{9} h^{3}) (- 5 f^{6}) (- 3 h^{2})$

Step 1

Multiply $f^{9}$ by $f^{6}$ by adding the exponents.

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Step 1.1

Move $f^{6}$ .

$4 (f^{6} f^{9}) h^{3} \cdot - 5 (- 3 h^{2})$

Step 1.2

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

$4 f^{6 + 9} h^{3} \cdot - 5 (- 3 h^{2})$

Step 1.3

Add $6$ and $9$ .

$4 f^{15} h^{3} \cdot - 5 (- 3 h^{2})$

Step 2

Multiply $h^{3}$ by $h^{2}$ by adding the exponents.

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Step 2.1

Move $h^{2}$ .

$4 f^{15} (h^{2} h^{3}) \cdot - 5 \cdot - 3$

Step 2.2

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

$4 f^{15} h^{2 + 3} \cdot - 5 \cdot - 3$

Step 2.3

Add $2$ and $3$ .

$4 f^{15} h^{5} \cdot - 5 \cdot - 3$

Step 3

Multiply $- 5$ by $4$ .

$- 20 f^{15} h^{5} \cdot - 3$

Step 4

Multiply $- 3$ by $- 20$ .

$60 f^{15} h^{5}$