Basic Math Examples

${(2 k^{4} \cdot (2 k^{4}))}^{4}$

Step 1

Rewrite using the commutative property of multiplication.

${(2 \cdot 2 k^{4} k^{4})}^{4}$

Step 2

Multiply $k^{4}$ by $k^{4}$ by adding the exponents.

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Step 2.1

Move $k^{4}$ .

${(2 \cdot 2 (k^{4} k^{4}))}^{4}$

Step 2.2

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

${(2 \cdot 2 k^{4 + 4})}^{4}$

Step 2.3

Add $4$ and $4$ .

${(2 \cdot 2 k^{8})}^{4}$

Step 3

Multiply $2$ by $2$ .

${(4 k^{8})}^{4}$

Step 4

Apply the product rule to $4 k^{8}$ .

$4^{4} {(k^{8})}^{4}$

Step 5

Raise $4$ to the power of $4$ .

$256 {(k^{8})}^{4}$

Step 6

Multiply the exponents in ${(k^{8})}^{4}$ .

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Step 6.1

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

$256 k^{8 \cdot 4}$

Step 6.2

Multiply $8$ by $4$ .

$256 k^{32}$