Algebra Examples

$\frac{4^{3} \cdot 4^{4}}{4^{9}}$

Step 1

Multiply $4^{3}$ by $4^{4}$ by adding the exponents.

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Step 1.1

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

$\frac{4^{3 + 4}}{4^{9}}$

Step 1.2

Add $3$ and $4$ .

$\frac{4^{7}}{4^{9}}$

Step 2

Cancel the common factor of $4^{7}$ and $4^{9}$ .

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Step 2.1

Multiply by $1$ .

$\frac{4^{7} \cdot 1}{4^{9}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4^{7}$ out of $4^{9}$ .

$\frac{4^{7} \cdot 1}{4^{7} \cdot 4^{2}}$

Step 2.2.2

Cancel the common factor.

$\frac{4^{7} \cdot 1}{4^{7} \cdot 4^{2}}$

Step 2.2.3

Rewrite the expression.

$\frac{1}{4^{2}}$

Step 3

Raise $4$ to the power of $2$ .

$\frac{1}{16}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{16}$

Decimal Form:

$0.0625$