Solve frac{(243)^{017}*(243)^007}{7^025*(49)^0075*(494)^02}

$$\frac { ( 243 ) ^ { 017 } \times ( 243 ) ^ { 007 } } { 7 ^ { 025 } \times ( 49 ) ^ { 0075 } \times ( 494 ) ^ { 02 } }$$

Evaluate

$$1$$

Solution Steps

Multiply 0 and 17 to get 0.

$$\frac{243^{0}\times 243^{0\times 0\times 7}}{7^{0\times 25}\times 49^{0\times 0\times 75}\times 494^{0\times 2}}$$

Calculate 243 to the power of 0 and get 1.

$$\frac{1\times 243^{0\times 0\times 7}}{7^{0\times 25}\times 49^{0\times 0\times 75}\times 494^{0\times 2}}$$

Multiply 0 and 0 to get 0.

$$\frac{1\times 243^{0\times 7}}{7^{0\times 25}\times 49^{0\times 0\times 75}\times 494^{0\times 2}}$$

Multiply 0 and 7 to get 0.

$$\frac{1\times 243^{0}}{7^{0\times 25}\times 49^{0\times 0\times 75}\times 494^{0\times 2}}$$

Calculate 243 to the power of 0 and get 1.

$$\frac{1\times 1}{7^{0\times 25}\times 49^{0\times 0\times 75}\times 494^{0\times 2}}$$

Multiply 1 and 1 to get 1.

$$\frac{1}{7^{0\times 25}\times 49^{0\times 0\times 75}\times 494^{0\times 2}}$$

Multiply 0 and 25 to get 0.

$$\frac{1}{7^{0}\times 49^{0\times 0\times 75}\times 494^{0\times 2}}$$

Calculate 7 to the power of 0 and get 1.

$$\frac{1}{1\times 49^{0\times 0\times 75}\times 494^{0\times 2}}$$

Multiply 0 and 0 to get 0.

$$\frac{1}{1\times 49^{0\times 75}\times 494^{0\times 2}}$$

Multiply 0 and 75 to get 0.

$$\frac{1}{1\times 49^{0}\times 494^{0\times 2}}$$

Calculate 49 to the power of 0 and get 1.

$$\frac{1}{1\times 1\times 494^{0\times 2}}$$

Multiply 1 and 1 to get 1.

$$\frac{1}{494^{0\times 2}}$$

Multiply 0 and 2 to get 0.

$$\frac{1}{494^{0}}$$

Calculate 494 to the power of 0 and get 1.

$$\frac{1}{1}$$

Anything divided by one gives itself.

$$1$$

Factor

$$1$$