Pre-Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

Multiply $13$ by $6$ .

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

Step 1.3

Add $78$ and $9$ .

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

Step 1.4

Raise $87$ to the power of $4$ .

$343 - \frac{2}{3} \cdot 57289761$

Step 1.5

Cancel the common factor of $3$ .

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Step 1.5.1

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

$343 + \frac{- 2}{3} \cdot 57289761$

Step 1.5.2

Factor $3$ out of $57289761$ .

$343 + \frac{- 2}{3} \cdot (3 (19096587))$

Step 1.5.3

Cancel the common factor.

$343 + \frac{- 2}{3} \cdot (3 \cdot 19096587)$

Step 1.5.4

Rewrite the expression.

$343 - 2 \cdot 19096587$

Step 1.6

Multiply $- 2$ by $19096587$ .

$343 - 38193174$

Step 2

Subtract $38193174$ from $343$ .

$- 38192831$