Algebra Examples

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

Step 1

Replace all occurrences of $+$ $-$ with a single $-$ . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because $1 \cdot - 1 = - 1$

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

Step 2

Simplify the numerator.

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Step 2.1

Subtract $8$ from $6$ .

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

Step 2.2

Raise $- 2$ to the power of $5$ .

$\frac{- 32}{6 - 2 {(- 8)}^{2}}$

Step 3

Simplify the denominator.

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Step 3.1

Raise $- 8$ to the power of $2$ .

$\frac{- 32}{6 - 2 \cdot 64}$

Step 3.2

Multiply $- 2$ by $64$ .

$\frac{- 32}{6 - 128}$

Step 3.3

Subtract $128$ from $6$ .

$\frac{- 32}{- 122}$

Step 4

Cancel the common factor of $- 32$ and $- 122$ .

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Step 4.1

Factor $- 2$ out of $- 32$ .

$\frac{- 2 (16)}{- 122}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $- 2$ out of $- 122$ .

$\frac{- 2 \cdot 16}{- 2 \cdot 61}$

Step 4.2.2

Cancel the common factor.

$\frac{- 2 \cdot 16}{- 2 \cdot 61}$

Step 4.2.3

Rewrite the expression.

$\frac{16}{61}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{61}$

Decimal Form:

$0.26229508 \dots$