Simplify (20/5)^3-10(3)^2

${(\frac{20}{5})}^{3} - 10 {(3)}^{2}$

Step 1

Simplify each term.

Divide $20$ by $5$ .

$4^{3} - 10 {(3)}^{2}$

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

$64 - 10 {(3)}^{2}$

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

$64 - 10 \cdot 9$

Multiply $- 10$ by $9$ .

$64 - 90$

$64 - 90$

Step 2

Subtract $90$ from $64$ .

$- 26$

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