Solve sqrt[4]{15^3*125}=sqrt[4]{125*15^3}Rightarrowsqrt[4]{125*3375}=

$$\sqrt[ 4 ] { 15 ^ { 3 } \cdot 125 } = \sqrt[ 4 ] { 125 \cdot 15 ^ { 3 } } \Rightarrow \sqrt[ 4 ] { 125 \cdot 3375 } =$$

Verify

Solution Steps

Calculate 15 to the power of 3 and get 3375.

$$\sqrt[4]{3375\times 125}=\sqrt[4]{125\times 15^{3}}$$

Multiply 3375 and 125 to get 421875.

$$\sqrt[4]{421875}=\sqrt[4]{125\times 15^{3}}$$

Calculate 15 to the power of 3 and get 3375.

$$\sqrt[4]{421875}=\sqrt[4]{125\times 3375}$$

Multiply 125 and 3375 to get 421875.

$$\sqrt[4]{421875}=\sqrt[4]{421875}$$

Subtract \sqrt[4]{421875} from both sides.

$$\sqrt[4]{421875}-\sqrt[4]{421875}=0$$

Combine \sqrt[4]{421875} and -\sqrt[4]{421875} to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$