Solve (66/33)^9+(22/0.01)^6

$$( \frac { 66 } { 33 } ) ^ { 9 } + ( \frac { 22 } { 0.01 } ) ^ { 6 }$$

Evaluate

$$113379904000000000512$$

Solution Steps

Divide 66 by 33 to get 2.

$$2^{9}+\left(\frac{22}{0.01}\right)^{6}$$

Calculate 2 to the power of 9 and get 512.

$$512+\left(\frac{22}{0.01}\right)^{6}$$

Expand \frac{22}{0.01} by multiplying both numerator and the denominator by 100. Anything divided by one gives itself.

$$512+2200^{6}$$

Calculate 2200 to the power of 6 and get 113379904000000000000.

$$512+113379904000000000000$$

Add 512 and 113379904000000000000 to get 113379904000000000512.

$$113379904000000000512$$

Factor

$$201667\times 122008131667\times 2^{9}\times 3^{2}$$