Evaluate -3*(75÷((9-4)^2))^2

$- 3 \times {(75 \div {(9 - 4)}^{2})}^{2}$

Step 1

Rewrite the division as a fraction.

$- 3 \cdot {(\frac{75}{{(9 - 4)}^{2}})}^{2}$

Step 2

Simplify the denominator.

Subtract $4$ from $9$ .

$- 3 \cdot {(\frac{75}{5^{2}})}^{2}$

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

$- 3 \cdot {(\frac{75}{25})}^{2}$

$- 3 \cdot {(\frac{75}{25})}^{2}$

Step 3

Simplify the expression.

Divide $75$ by $25$ .

$- 3 \cdot 3^{2}$

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

$- 3 \cdot 9$

Multiply $- 3$ by $9$ .

$- 27$

$- 27$

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