Solve {left(5*450/55right)}^22

$${ \left(5 \times \frac{ 450 }{ 55 } \right) }^{ 22 }$$

Evaluate

$$\frac{23478767923918038198494911193847656250000000000000000000000}{81402749386839761113321}\approx 2.884272104 \cdot 10^{35}$$

Solution Steps

Reduce the fraction \frac{450}{55} to lowest terms by extracting and canceling out 5.

$$\left(5\times \frac{90}{11}\right)^{22}$$

Multiply 5 and \frac{90}{11} to get \frac{450}{11}.

$$\left(\frac{450}{11}\right)^{22}$$

Calculate \frac{450}{11} to the power of 22 and get \frac{23478767923918038198494911193847656250000000000000000000000}{81402749386839761113321}.

$$\frac{23478767923918038198494911193847656250000000000000000000000}{81402749386839761113321}$$

Factor

$$\frac{2 ^ {22} \cdot 3 ^ {44} \cdot 5 ^ {44}}{11 ^ {22}} = 2.884272103924024 \times 10^{35}\frac{5.71467308252388 \times 10^{22}}{8.140274938683977 \times 10^{22}} = 2.884272103924024 \times 10^{35}$$