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Chapter 0: Problem 96

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. $$\frac{6.9 \times 10^{8}}{3 \times 10^{5}}$$

Short Answer

Expert verified
The result of the division is \(2.3 \times 10^{3}\).

Step by step solution

01

Divide the Coefficients

Start by dividing the coefficients of the two numbers; divide \(6.9\) by \(3\). The result is approximately \(2.3\).
02

Subtract the Exponents

Next, subtract the exponent of the denominator from the exponent of the numerator; subtract \(5\) from \(8\). The result is \(3\).
03

Combine the Results

Now, combine the result from the division of coefficients with the result from the subtraction of exponents. This will give us \(2.3 \times 10^{3}\).

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Most popular questions from this chapter

Evaluate each algebraic expression for the given value or values of the variable(s). $$8 x-y, for\quad x=3\quad and\quad y=4$$

Multiply: \(\quad\left(2 x^{3} y^{2}\right)\left(5 x^{4} y^{7}\right)\)

Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}-4(x-y), \text { for } x=8 \text { and } y=3$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The cube root of \(-8\) is not a real number.

$$\text { Factor completely.}$$ $$(x+y)^{4}-100(x+y)^{2}$$
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