Questions: Perform the operation as indicated. Write the final answer without an exponent. 5.4 × 10^12 / -3 × 10^7 =

Perform the operation as indicated. Write the final answer without an exponent. 5.4 × 10^12 / -3 × 10^7 =
Transcript text: Perform the operation as indicated. Write the final answer without an exponent. \[ \frac{5.4 \times 10^{12}}{-3 \times 10^{7}}= \] $\square$
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Solution

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Solution Steps

To solve this problem, we need to divide the two numbers given in scientific notation. First, divide the coefficients (5.4 by -3), and then subtract the exponents of 10 (12 minus 7). Finally, express the result without using an exponent.

Step 1: Divide the Coefficients

We start by dividing the coefficients of the two numbers: \[ \frac{5.4}{-3} = -1.8 \]

Step 2: Subtract the Exponents

Next, we subtract the exponents of \(10\): \[ 12 - 7 = 5 \]

Step 3: Combine the Results

Now, we combine the results from the previous steps. The result in scientific notation is: \[ -1.8 \times 10^5 \] To express this without an exponent, we convert it to standard form: \[ -1.8 \times 10^5 = -180000.0 \]

Final Answer

\(\boxed{-180000.0}\)

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