Basic Math Examples

$3 {(2^{2})}^{4} \div 2 (3 {(2^{3})}^{4})$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Multiply the exponents in ${(2^{2})}^{4}$ .

Tap for more steps...

Step 1.1.1

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

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

Step 1.1.2

Multiply $2$ by $4$ .

$3 \cdot 2^{8} \div 2 (3 {(2^{3})}^{4})$

Step 1.2

Raise $2$ to the power of $8$ .

$3 \cdot 256 \div 2 (3 {(2^{3})}^{4})$

Step 2

Simplify the expression.

Tap for more steps...

Step 2.1

Multiply $3$ by $256$ .

$768 \div 2 (3 {(2^{3})}^{4})$

Step 2.2

Divide $768$ by $2$ .

$384 (3 {(2^{3})}^{4})$

Step 2.3

Multiply the exponents in ${(2^{3})}^{4}$ .

Tap for more steps...

Step 2.3.1

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

$384 (3 \cdot 2^{3 \cdot 4})$

Step 2.3.2

Multiply $3$ by $4$ .

$384 (3 \cdot 2^{12})$

Step 2.4

Raise $2$ to the power of $12$ .

$384 (3 \cdot 4096)$

Step 3

Multiply $384 (3 \cdot 4096)$ .

Tap for more steps...

Step 3.1

Multiply $3$ by $4096$ .

$384 \cdot 12288$

Step 3.2

Multiply $384$ by $12288$ .

$4718592$