QuestionSimplify this expression into scientific notation:
Studdy Solution
STEP 1
Assumptions1. The given expression is divided by . . We need to simplify this expression into scientific notation.
STEP 2
First, let's simplify the denominator. The denominator is a square of a number in scientific notation, so we can square both the coefficient and the power of ten separately.
STEP 3
Calculate the square of3 and the square of .
So, .
STEP 4
Now, let's substitute the simplified denominator back into the original expression.
STEP 5
Next, we divide the coefficients and the powers of ten separately.
STEP 6
Calculate the division of the coefficients and the division of the powers of ten.
So, .
STEP 7
The result is not yet in standard scientific notation. In standard scientific notation, the absolute value of the coefficient should be between1 and10. So, we need to adjust the coefficient and the power of ten to fit this rule.
STEP 8
Finally, we round the coefficient to two decimal places to get the final result in scientific notation.
So, the simplified expression in scientific notation is .
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