Pre-Algebra Examples

$\frac{4}{{(4^{6})}^{4}}$

Step 1

Simplify the denominator.

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Step 1.1

Multiply the exponents in ${(4^{6})}^{4}$ .

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Step 1.1.1

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

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

Step 1.1.2

Multiply $6$ by $4$ .

$\frac{4}{4^{24}}$

Step 1.2

Raise $4$ to the power of $24$ .

$\frac{4}{281474976710656}$

Step 2

Cancel the common factor of $4$ and $281474976710656$ .

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Step 2.1

Factor $4$ out of $4$ .

$\frac{4 (1)}{281474976710656}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $281474976710656$ .

$\frac{4 \cdot 1}{4 \cdot 70368744177664}$

Step 2.2.2

Cancel the common factor.

$\frac{4 \cdot 1}{4 \cdot 70368744177664}$

Step 2.2.3

Rewrite the expression.

$\frac{1}{70368744177664}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{70368744177664}$

Decimal Form:

$1.42108547 \cdot 10^{- 14}$