Answer :
Final answer:
The simplified result of the expression (-23)^2(-32)^3 is -17,338,112. We calculate this by first squaring -23 to get 529, then cubing -32 to get -32768, and finally multiplying these two results together. There seems to be a mistake in the question since -17,338,112 is not amongst the provided options.
Explanation:
Answer:
To simplify the given expression (-23)^2(-32)^3, we must first understand what these operations represent. In mathematics, an exponent refers to the number of times a number is multiplied by itself. The expression (-23)^2, for example, means '-23 multiplied by -23', and it equals 529 because a negative number squared always results in a positive outcome. The expression (-32)^3 means '-32 multiplied by -32 multiplied by -32', and it equals -32768 because a negative number raised to an odd power always results in a negative outcome. Finally, multiplying the results of these expressions together, you will get 529*(-32768), which equals -17,338,112 , but this is not an option in the provided answers. Therefore, it seems there might have been a mistake in the question.
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