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What is the simplified expression for 4*³ • 42?
a) 24
b) 144
c) 168
d) 36

User MigDus
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1 Answer

6 votes

Final answer:

The simplified expression for 4*³ • 4² is 1024, obtained by multiplying 64 (4*³) by 16 (4²). The answer is not listed in the provided options.

Step-by-step explanation:

The simplified expression for 4*³ • 4² can be found by adding the exponents when multiplying powers with the same base. Since our base is 4 in both terms, we can combine the exponents 3 and 2.

Here's the step-by-step process:

  • Understand that raising a number to a power, like 4³, is the same as 4×4×4.
  • 4*³ is thus 4 × 4 × 4, which equals 4³ or 64.
  • Next, 4² is 4 × 4, which equals 16.
  • Multiply the two results: 64 × 16 = 1024.

The final answer is not listed in the provided options, which suggests there might have been a misinterpretation of the original expression.

User Vanchev
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