Algebra Examples

${(2^{3})}^{2} + {(2 \cdot 3^{2})}^{2}$

Step 1

Simplify each term.

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Step 1.1

Multiply the exponents in ${(2^{3})}^{2}$ .

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Step 1.1.1

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

$2^{3 \cdot 2} + {(2 \cdot 3^{2})}^{2}$

Step 1.1.2

Multiply $3$ by $2$ .

$2^{6} + {(2 \cdot 3^{2})}^{2}$

Step 1.2

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

$64 + {(2 \cdot 3^{2})}^{2}$

Step 1.3

Raise $3$ to the power of $2$ .

$64 + {(2 \cdot 9)}^{2}$

Step 1.4

Multiply $2$ by $9$ .

$64 + 18^{2}$

Step 1.5

Raise $18$ to the power of $2$ .

$64 + 324$

Step 2

Add $64$ and $324$ .

$388$