Algebra Examples

$7^{3} - \frac{2}{3} (13 \cdot 6 + 9) \cdot 4$

Step 1

Simplify each term.

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Step 1.1

Raise $7$ to the power of $3$ .

$343 - \frac{2}{3} \cdot (13 \cdot 6 + 9) \cdot 4$

Step 1.2

Multiply $13$ by $6$ .

$343 - \frac{2}{3} \cdot (78 + 9) \cdot 4$

Step 1.3

Add $78$ and $9$ .

$343 - \frac{2}{3} \cdot 87 \cdot 4$

Step 1.4

Cancel the common factor of $3$ .

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Step 1.4.1

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$343 + \frac{- 2}{3} \cdot 87 \cdot 4$

Step 1.4.2

Factor $3$ out of $87$ .

$343 + \frac{- 2}{3} \cdot (3 (29)) \cdot 4$

Step 1.4.3

Cancel the common factor.

$343 + \frac{- 2}{3} \cdot (3 \cdot 29) \cdot 4$

Step 1.4.4

Rewrite the expression.

$343 - 2 \cdot 29 \cdot 4$

Step 1.5

Multiply $- 2$ by $29$ .

$343 - 58 \cdot 4$

Step 1.6

Multiply $- 58$ by $4$ .

$343 - 232$

Step 2

Subtract $232$ from $343$ .

$111$