Solve 2^100*(-4)^100*(0.125)^99

$$2 ^ { 100 } \times ( - 4 ) ^ { 100 } \times ( 0.125 ) ^ { 99 }$$

Evaluate

$$8$$

Solution Steps

Calculate 2 to the power of 100 and get 1267650600228229401496703205376.

$$1267650600228229401496703205376\left(-4\right)^{100}\times 0.125^{99}$$

Calculate -4 to the power of 100 and get 1606938044258990275541962092341162602522202993782792835301376.

$$1267650600228229401496703205376\times 1606938044258990275541962092341162602522202993782792835301376\times 0.125^{99}$$

Multiply 1267650600228229401496703205376 and 1606938044258990275541962092341162602522202993782792835301376 to get 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376.

$$2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376\times 0.125^{99}$$

Calculate 0.125 to the power of 99 and get 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003927274772238181242476617563989020514380172409999559652089239293749684203777372685168078307229865561821746857252105502810534334888339775122246011859287170761802484371567889542831153448787517845630645751953125.

$$2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376\times 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003927274772238181242476617563989020514380172409999559652089239293749684203777372685168078307229865561821746857252105502810534334888339775122246011859287170761802484371567889542831153448787517845630645751953125$$

Multiply 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 and 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003927274772238181242476617563989020514380172409999559652089239293749684203777372685168078307229865561821746857252105502810534334888339775122246011859287170761802484371567889542831153448787517845630645751953125 to get 8.

$$8$$

Factor

$$2^{3}$$