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Simplify 8^c*4

$8^{c} \cdot 4$

Step 1

Rewrite $8$ as $2^{3}$ .

${(2^{3})}^{c} \cdot 4$

Step 2

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

$2^{3 c} \cdot 4$

Step 3

Rewrite $4$ as $2^{2}$ .

$2^{3 c} \cdot 2^{2}$

Step 4

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

$2^{3 c + 2}$

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