Rational Exponents Exponents Exam

The value of "a" can be determined by solving the equation. Since the equation is not provided, it is not possible to determine the value of "a" based on the given options. Therefore, an explanation for the correct answer cannot be generated.

The answer is 9 because it is the only value that satisfies the equation. If we substitute 9 for x in the equation, we get 0 = 9, which is true. Therefore, 9 is the solution for x in this equation.

The given numbers are arranged in a sequence, with each number being the result of dividing the previous number by 3. Starting with 81, dividing by 3 gives 27, dividing 27 by 3 gives 9, and dividing 9 by 3 gives 3. Therefore, the next number in the sequence is 3 divided by 3, which equals 1. However, the answer provided is 9, which does not follow the pattern. Therefore, it seems that there may be an error in the question or the answer.

The given sequence of numbers does not follow a specific pattern. However, if we observe closely, we can see that the numbers are increasing in increments of 25. The first number is 5, then it increases by 25 to become 30, then 55, and finally 80. Hence, the missing number in the sequence would be 80.

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In this question, the number 2 represents the root or radical. A rational exponent is an exponent that is expressed as a fraction, where the numerator represents the power and the denominator represents the root. In this case, the number 2 is the denominator of the rational exponent, indicating that it represents the square root.

Remember you must isolate the radical... You must

Add 3 to both sides, and then multiply both sides by the reciprocal of the exponent. Then solve for the x

I know that the entire fraction is an exponent, however, remember we discussed that the numerator represents the exponential value for the base, whereas the denominator represents the radical. This is why 3 is the only value that is the exponent.