Algebra Examples

$\frac{5^{2} - 3^{4}}{(2^{3} - 5) \cdot (6^{2} \div 9)}$

Step 1

Raise $6$ to the power of $2$ .

$\frac{5^{2} - 3^{4}}{(2^{3} - 5) \cdot 36 \div 9}$

Step 2

Simplify the numerator.

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Step 2.1

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

$\frac{25 - 3^{4}}{(2^{3} - 5) \cdot 36 \div 9}$

Step 2.2

Raise $3$ to the power of $4$ .

$\frac{25 - 1 \cdot 81}{(2^{3} - 5) \cdot 36 \div 9}$

Step 2.3

Multiply $- 1$ by $81$ .

$\frac{25 - 81}{(2^{3} - 5) \cdot 36 \div 9}$

Step 2.4

Subtract $81$ from $25$ .

$\frac{- 56}{(2^{3} - 5) \cdot 36 \div 9}$

Step 3

Simplify the denominator.

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Step 3.1

Raise $2$ to the power of $3$ .

$\frac{- 56}{(8 - 5) 36 \div 9}$

Step 3.2

Subtract $5$ from $8$ .

$\frac{- 56}{3 (36 \div 9)}$

Step 3.3

Divide $36$ by $9$ .

$\frac{- 56}{3 \cdot 4}$

Step 4

Reduce the expression by cancelling the common factors.

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Step 4.1

Multiply $3$ by $4$ .

$\frac{- 56}{12}$

Step 4.2

Cancel the common factor of $- 56$ and $12$ .

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Step 4.2.1

Factor $4$ out of $- 56$ .

$\frac{4 (- 14)}{12}$

Step 4.2.2

Cancel the common factors.

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Step 4.2.2.1

Factor $4$ out of $12$ .

$\frac{4 \cdot - 14}{4 \cdot 3}$

Step 4.2.2.2

Cancel the common factor.

$\frac{4 \cdot - 14}{4 \cdot 3}$

Step 4.2.2.3

Rewrite the expression.

$\frac{- 14}{3}$

Step 4.3

Move the negative in front of the fraction.

$- \frac{14}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{14}{3}$

Decimal Form:

$- 4.\overline{6}$

Mixed Number Form:

$- 4 \frac{2}{3}$