Step 2:

Step 3:
Result:
Final answer:

Step 2 & results
:: 104
:: Divide exponents
:: Subtract exponents
:: Add exponents
Step 3 & results
:: Make sure your answer is in scientific notation
•: 1.91 × 1015
:: 2.9 × 1025
:: 9.3 × 104

1 answer

It seems like you're working through a problem involving operations with scientific notation. However, the details of the operations are missing. Based on what you've provided, it looks like you have three values in scientific notation, and you're being instructed to perform some operations on them, possibly combining them.

Let's break down the steps based on typical operations.

Step 2:

  1. Values to combine:

    • \( 1.91 \times 10^{15} \)
    • \( 2.9 \times 10^{25} \)
    • \( 9.3 \times 10^{4} \)
  2. Operation Type:

    • If you’re adding or subtracting these values, you need to get them to the same exponent.
    • If you're multiplying or dividing, you'll either add or subtract the exponents.
  3. Divide/Multiply/Combine as needed:

    • Since you didn't specify, I'll show both addition steps and a multiplication example.

Addition Example: To add these values, you would convert them to the same exponent. The highest exponent here is \(10^{25}\):

  • Convert \(1.91 \times 10^{15}\) and \(9.3 \times 10^{4}\).

\[ 1.91 \times 10^{15} = 0.0000191 \times 10^{25} \quad (\text{shifted 10 places to the right}) \] \[ 9.3 \times 10^{4} = 0.000000093 \times 10^{25} \quad (\text{shifted 21 places to the right}) \]

Now add: \[ 0.0000191 \times 10^{25} + 2.9 \times 10^{25} + 0.000000093 \times 10^{25} \approx (2.900019193) \times 10^{25} \] Final answer for addition in scientific notation would be approximately: \[ 2.90 \times 10^{25} \]

Step 3: If you perform the multiplication of all three:

  • Multiply the coefficients and add the exponents (example): \[ (1.91 \times 10^{15}) \times (2.9 \times 10^{25}) \times (9.3 \times 10^{4}) \]
  1. Multiply coefficients: \[ 1.91 \times 2.9 \times 9.3 \approx 50.6797 \]

  2. Add exponents: \[ 15 + 25 + 4 = 44 \]

Final product in scientific notation: \[ 5.06797 \times 10^{44} \approx 5.07 \times 10^{44} \]

Final Result: Depending on the operation that you intended to perform (addition vs multiplication), the final answer will differ:

  • For addition: \( 2.90 \times 10^{25} \)
  • For multiplication: \( 5.07 \times 10^{44} \)

Make sure to check your operations to confirm the intended results!

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