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Which of the following expressions is equivalent to (8x4)2(x3)?

8x11


8x24


64x11


64x24

1 Answer

2 votes

Answer:

64x^11 after making the nomenclature revisions as noted below.

Explanation:

Be careful with the notation. As written, (8x4)2(x3) is telling us to multiply 8*4*2*x*3 for an answer of 192x. But, judging from the answer options, this doesn't make sense.

If we assume, instead, that some of the numbers are actually exponents, then a different answer emerges. I'll guess that the expression (8x4)2(x3)

was meant to read: (8x^4)^2(x^3)

===

Assuming this is correct, take the following steps according to PEDMAS:

1) Exponents: (8x^4)^2 = 64x^8

2) (64x^8)*(x^3)

3) 64x^11

If we write the answer options is a similar manner, we find that the third option, 64x11, would be 64x^11, the expression we derived above. 64x11 is not the correct answer, but 64x^11 is.

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