Solve and show result in scientific notation begin mathsize 12px style left parenthesis straight e. straight g space 1.5 cross times 10 to the power of 6 right parenthesis end style. Do not round the coefficient.

open parentheses 1.952 cross times 10 to the power of 4 close parentheses divided by open parentheses 1.6 cross times 10 squared close parentheses equals

Respuesta :

Answer:

  3.1232×10⁶

Step-by-step explanation:

You want the product of 1.952×10⁴ and 1.6×10².

Product

The product of numbers in scientific notation is found by multiplying in the usual way.

If the product of coefficients is between 1 and 10, as it is here, then no adjustment is needed to the power of 10 that results from multiplying those factors.

  (1.952×10⁴)(1.6×10²) = (1.952)(1.6) × (10⁴)(10²) = 3.1232 × 10⁴⁺²

  = 3.1232×10⁶

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Additional comment

The rules for exponents apply. (a^b)(a^c) = a^(b+c).

Your calculator or spreadsheet can format the product in scientific notation for you.

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