Algebra Examples

${(2^{2} \div 2^{3})}^{7}$

Step 1

Rewrite the division as a fraction.

${(\frac{2^{2}}{2^{3}})}^{7}$

Step 2

Cancel the common factor of $2^{2}$ and $2^{3}$ .

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Step 2.1

Multiply by $1$ .

${(\frac{2^{2} \cdot 1}{2^{3}})}^{7}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2^{2}$ out of $2^{3}$ .

${(\frac{2^{2} \cdot 1}{2^{2} \cdot 2})}^{7}$

Step 2.2.2

Cancel the common factor.

${(\frac{2^{2} \cdot 1}{2^{2} \cdot 2})}^{7}$

Step 2.2.3

Rewrite the expression.

${(\frac{1}{2})}^{7}$

${(\frac{1}{2})}^{7}$

${(\frac{1}{2})}^{7}$

Step 3

Apply the product rule to $\frac{1}{2}$ .

$\frac{1^{7}}{2^{7}}$

Step 4

One to any power is one.

$\frac{1}{2^{7}}$

Step 5

Raise $2$ to the power of $7$ .

$\frac{1}{128}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$