Solve 10*[(12^2:3^2):2^2]=40

$$10 \cdot [ ( 12 ^ { 2 } : 3 ^ { 2 } ) : 2 ^ { 2 } ] = 40$$

Verify

Solution Steps

Calculate 12 to the power of 2 and get 144.

$$10\times \frac{\frac{144}{3^{2}}}{2^{2}}=40$$

Calculate 3 to the power of 2 and get 9.

$$10\times \frac{\frac{144}{9}}{2^{2}}=40$$

Divide 144 by 9 to get 16.

$$10\times \frac{16}{2^{2}}=40$$

Calculate 2 to the power of 2 and get 4.

$$10\times \frac{16}{4}=40$$

Divide 16 by 4 to get 4.

$$10\times 4=40$$

Multiply 10 and 4 to get 40.

$$40=40$$

Compare 40 and 40.

$$\text{true}$$