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Multiply.\newline(1×104)(8×104)(1 \times 10^4)(8 \times 10^4)\newlineChoices:\newline(A) 8×10108 \times 10^{10}\newline(B) 8×10138 \times 10^{13}\newline(C) 8×1028 \times 10^2\newline(D) 8×1088 \times 10^8

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Q. Multiply.\newline(1×104)(8×104)(1 \times 10^4)(8 \times 10^4)\newlineChoices:\newline(A) 8×10108 \times 10^{10}\newline(B) 8×10138 \times 10^{13}\newline(C) 8×1028 \times 10^2\newline(D) 8×1088 \times 10^8
  1. Identify Components: Identify the components of the multiplication problem.\newlineWe have: 1×1041 \times 10^4(88 \times 1010^44)\newlineGroup the coefficients and power terms together.\newlineCoefficients: 11 and 88\newlinePower terms: 10410^4 and 10410^4
  2. Multiply Coefficients: Multiply the coefficients.\newlineWhat is 1×81 \times 8? Multiply the coefficients.\newline1×8=81 \times 8 = 8
  3. Combine Power Terms: Combine the power terms.\newlineWrite 104×10410^4 \times 10^4 as a single power of 1010. When multiplying powers with the same base, we add the exponents.\newline104×10410^4 \times 10^4\newline=104+4= 10^{4 + 4}\newline=108= 10^8
  4. Final Scientific Notation: Write the final answer in scientific notation.\newlineWe found:\newlineCoefficient = 88\newlinePower term = 10810^8\newlineCombine the coefficient and the power term to write the final answer in scientific notation.\newlineScientific notation: 8×1088 \times 10^8

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