Basic Math Examples

$(2^{2}) (8^{5}) \div 4^{6}$

Step 1

Rewrite the division as a fraction.

$\frac{(2^{2}) (8^{5})}{4^{6}}$

Step 2

Simplify the numerator.

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Step 2.1

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

$\frac{2^{2} \cdot {(2^{3})}^{5}}{4^{6}}$

Step 2.2

Multiply the exponents in ${(2^{3})}^{5}$ .

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Step 2.2.1

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

$\frac{2^{2} \cdot 2^{3 \cdot 5}}{4^{6}}$

Step 2.2.2

Multiply $3$ by $5$ .

$\frac{2^{2} \cdot 2^{15}}{4^{6}}$

Step 2.3

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

$\frac{2^{2 + 15}}{4^{6}}$

Step 2.4

Add $2$ and $15$ .

$\frac{2^{17}}{4^{6}}$

Step 3

Simplify the expression.

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Step 3.1

Raise $4$ to the power of $6$ .

$\frac{2^{17}}{4096}$

Step 3.2

Raise $2$ to the power of $17$ .

$\frac{131072}{4096}$

Step 3.3

Divide $131072$ by $4096$ .

$32$