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# (2^2)^3 x (10^3)^2 = ???

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(2^2)^3 x (10^3)^2 = ???

Guest May 22, 2017
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$$(2^2)^3*(10^3)^2=64000000$$

Let's break this problem down step by step. This is the original expression:

$$(2^2)^3*(10^3)^2$$

Calculate what is in the parentheses first:

$$2^2=2*2=4\hspace{1cm}10^3=10*10*10=1000$$

Therefore, we have simplified to this point:

$$(2^2)^3*(10^3)^2=4^3*1000^2$$

Calculate exponents before doing multiplication:

$$4^3=4*4*4=64\hspace{1cm}1000^2=1000*1000=1000000$$

We have simplified the equation to this now:

$$(2^2)^3*(10^3)^2=4^3*1000^2=64*1000000$$

$$64*1000000=64000000$$