Solve (1,78/(2.8^2+4,6^3))^0

$$( \frac { 1,78 } { ( 2.8 ^ { 2 } + 4,6 ^ { 3 } ) } ) ^ { 0 }$$

Evaluate

$$1$$

Solution Steps

Calculate 2.8 to the power of 2 and get 7.84.

$$\left(\frac{1.78}{7.84+4.6^{3}}\right)^{0}$$

Calculate 4.6 to the power of 3 and get 97.336.

$$\left(\frac{1.78}{7.84+97.336}\right)^{0}$$

Add 7.84 and 97.336 to get 105.176.

$$\left(\frac{1.78}{105.176}\right)^{0}$$

Expand \frac{1.78}{105.176} by multiplying both numerator and the denominator by 1000.

$$\left(\frac{1780}{105176}\right)^{0}$$

Reduce the fraction \frac{1780}{105176} to lowest terms by extracting and canceling out 4.

$$\left(\frac{445}{26294}\right)^{0}$$

Calculate \frac{445}{26294} to the power of 0 and get 1.

$$1$$

Factor

$$1$$