Pre-Algebra Examples

$6^{3} - 4^{3} - 7^{2}$

Step 1

To find the reciprocal, divide $1$ by the number given.

$\frac{1}{6^{3} - 4^{3} - 7^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $6$ to the power of $3$ .

$\frac{1}{216 - 4^{3} - 7^{2}}$

Step 2.2

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

$\frac{1}{216 - 1 \cdot 64 - 7^{2}}$

Step 2.3

Multiply $- 1$ by $64$ .

$\frac{1}{216 - 64 - 7^{2}}$

Step 2.4

Raise $7$ to the power of $2$ .

$\frac{1}{216 - 64 - 1 \cdot 49}$

Step 2.5

Multiply $- 1$ by $49$ .

$\frac{1}{216 - 64 - 49}$

Step 2.6

Subtract $64$ from $216$ .

$\frac{1}{152 - 49}$

Step 2.7

Subtract $49$ from $152$ .

$\frac{1}{103}$