Multiply or divide and write scientific notation for the result.
-$\left( 7.08 \times 10 ^ { - 5 } \right) \left( 8.45 \times 10 ^ { - 3 } \right)$
A) $6.0 \times 10 ^ { 15 }$
B) $5.98 \times 10 ^ { - 7 }$
C) $5.98 \times 10 ^ { 15 }$
D) $6.0 \times 10 ^ { - 7 }$

Question

Quizplus · Accepted Answer

To multiply two numbers in scientific notation, you multiply the coefficients (7.08 and 8.45) and add the exponents (-5 and -3). Multiplying the coefficients gives 59.826, which rounds to 5.98 for scientific notation, and adding the exponents gives -8, so the correct answer is $5.98 \times 10^{-8}$, which is not listed. However, based on the provided options, B seems to be a typo meant to represent the correct calculation but with an error in the exponent.

Multiply or Divide and Write Scientific Notation for the Result (7.08×10−5)(8.45×10−3)\left( 7.08 \times 10 ^ { - 5 } \right) \left( 8.45 \times 10 ^ { - 3 } \right)(7.08×10−5)(8.45×10−3)

Multiply or Divide and Write Scientific Notation for the Result $\left( 7.08 \times 10 ^ { - 5 } \right) \left( 8.45 \times 10 ^ { - 3 } \right)$