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Select all the expressions that are equivalent to 42×224^2 \times 2^2.\newlineMulti-select Choices:\newline(A) 182\frac{1}{8^2}\newline(B) 182\frac{1}{8^{-2}}\newline(C) 848^4\newline(D) 828^2

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Q. Select all the expressions that are equivalent to 42×224^2 \times 2^2.\newlineMulti-select Choices:\newline(A) 182\frac{1}{8^2}\newline(B) 182\frac{1}{8^{-2}}\newline(C) 848^4\newline(D) 828^2
  1. Calculate Exponents: Calculate 42×224^2 \times 2^2.\newline42=164^2 = 16, 22=42^2 = 4,\newline16×4=6416 \times 4 = 64,
  2. Compare with (A): Compare with choice (A) 1/821/8^2.\newline82=648^2 = 64, 1/641/64 is not equal to 6464,
  3. Compare with (B): Compare with choice (B) 1/821/8^{-2}.\newline82=1/648^{-2} = 1/64, 1/(1/64)=641/(1/64) = 64, this is equal to 6464,
  4. Compare with (C): Compare with choice (C) 848^4.\newline84=40968^4 = 4096, this is not equal to 6464,
  5. Compare with (D): Compare with choice (D) 828^2.\newline82=648^2 = 64, this is equal to 6464,

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