Question

Find the simplified form of the expression. Give your answer in scientific notation.

Answer 1

9514 1404 393

Answer:

  5.4×10^-1

Step-by-step explanation:

An adjustment in the exponent is needed to get to scientific notation at the end.

  (9×10^5)(6×10^-7) = (0.9×10^6)(6×10^-7) = (0.9×6)×10^(6-7)

  = 5.4×10^-1

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The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

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Of course, it can be useful to understand how moving the decimal point changes the exponent:

  9 = 0.9×10 = 0.9×10^1