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Which expression is equivalent to (103)8(10^3)^8?\newlineChoices:\newline(A) 11024\frac{1}{10^{24}}\newline(B) 102410^{24}\newline(C) 101110^{11}\newline(D) 11011\frac{1}{10^{11}}

Full solution

Q. Which expression is equivalent to (103)8(10^3)^8?\newlineChoices:\newline(A) 11024\frac{1}{10^{24}}\newline(B) 102410^{24}\newline(C) 101110^{11}\newline(D) 11011\frac{1}{10^{11}}
  1. Calculate power of power: Calculate the power of a power by multiplying the exponents.\newline(103)8=10(3×8)=1024(10^3)^8 = 10^{(3\times8)} = 10^{24}
  2. Compare with choices: Compare the result with the given choices. 102410^{24} matches with choice (B) 102410^{24}