Which of the following is equivalent to $(2^3)(2^5)(2^2)$ ?

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Answer 1 · 2017-01-07T21:57:42

See the use of exponents below to simplify this expression:

We will use the following rule for exponents to simplify this expression:

$(x^color(red)(a))(x^color(blue)(b)) = x^(color(red)(a)+color(blue)(b))$

Applying this rule to the expression gives:

$2^(3+5+2)$

$2^10$ or 1,024

Which of the following is equivalent to (2^3)(2^5)(2^2)(2^3)(2^5)(2^2)?