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Chapter 0: Problem 97

Perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. $$\frac{3.6 \times 10^{4}}{9 \times 10^{-2}}$$

Short Answer

Expert verified
The final answer is \(4 \times 10^{5}\).

Step by step solution

01

Divide the Coefficients

Divide the coefficient in the numerator \(3.6\) by the coefficient in the denominator \(9\). The quotient is \(0.4\)
02

Subtract the Exponents

Then subtract the exponent in the denominator \(-2\) from the exponent in the numerator \(4\). This gives: \(4 - (-2) = 4 + 2 = 6\)
03

Adjust the Final Answer

The final answer should be in standard scientific notation, which means the coefficient should be between 1 and 10. Multiply \(0.4\) by \(10\) to get \(4\), and subtract \(1\) from the exponent \(6\) to get \(5\).

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