Precalculus Examples

${(2 a^{5} a^{4})}^{6}$

Step 1

Multiply $a^{5}$ by $a^{4}$ by adding the exponents.

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Step 1.1

Move $a^{4}$ .

${(2 (a^{4} a^{5}))}^{6}$

Step 1.2

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

${(2 a^{4 + 5})}^{6}$

Step 1.3

Add $4$ and $5$ .

${(2 a^{9})}^{6}$

Step 2

Apply the product rule to $2 a^{9}$ .

$2^{6} {(a^{9})}^{6}$

Step 3

Raise $2$ to the power of $6$ .

$64 {(a^{9})}^{6}$

Step 4

Multiply the exponents in ${(a^{9})}^{6}$ .

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Step 4.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$64 a^{9 \cdot 6}$

Step 4.2

Multiply $9$ by $6$ .

$64 a^{54}$