Pre-Algebra Examples

$y - 6 + 6 = - \frac{1}{4^{8}} + 6$

Step 1

Combine the opposite terms in $y - 6 + 6$ .

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Step 1.1

Add $- 6$ and $6$ .

$y + 0 = - \frac{1}{4^{8}} + 6$

Step 1.2

Add $y$ and $0$ .

$y = - \frac{1}{4^{8}} + 6$

Step 2

Simplify $- \frac{1}{4^{8}} + 6$ .

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Step 2.1

Raise $4$ to the power of $8$ .

$y = - \frac{1}{65536} + 6$

Step 2.2

To write $6$ as a fraction with a common denominator, multiply by $\frac{65536}{65536}$ .

$y = - \frac{1}{65536} + 6 \cdot \frac{65536}{65536}$

Step 2.3

Combine $6$ and $\frac{65536}{65536}$ .

$y = - \frac{1}{65536} + \frac{6 \cdot 65536}{65536}$

Step 2.4

Combine the numerators over the common denominator.

$y = \frac{- 1 + 6 \cdot 65536}{65536}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $6$ by $65536$ .

$y = \frac{- 1 + 393216}{65536}$

Step 2.5.2

Add $- 1$ and $393216$ .

$y = \frac{393215}{65536}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = \frac{393215}{65536}$

Decimal Form:

$y = 5.99998474 \dots$

Mixed Number Form:

$y = 5 \frac{65535}{65536}$