Math113 online Course Project
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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Solve: 8^2/3 | The denominator of the rational exponent corresponds with the index of the radical. 3√8^2 = 3√64 = 4, or (3√8)^2 = 2^2 = 4
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Solve: -16^3/4 | Answer: -(4√16)^3 = -(2)^3 = -8
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Solve: (4x-1)^3/5 | Answer: 5√(4x-1)^3
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Solve: 16^-3/4 | Answer: 1/16^3/4 = 1/(4√16)^3 = 1/2^3 = 1/9
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Solve: 81^1/2 | The denominator of the rational exponent corresponds with the index of the radical. 2√81 is the same as √81. Answer: √81 = 9
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Solve: (81x^8)^1/4 | Answer: 4√81x^8 = 3x^2
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Use Rational Exponents to simplify: 8√x^4 | Answer: x^4/8 = x^1/2 = √x
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Define: a^1/n | If n is a positive number greater than 1 and n√a is a real number, then a^1/n = n√a
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Define: a^m/n | If m and n are positive integers greater than 1 with m/n in lowest terms then a^m/n = n√a^m = (n√a^)^m, as long as n√a is a real number
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Define: a^-m/n | As long as a^m/n is a nonzero real number, a^-m/n = 1/(a^m/n)
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
Bucelee
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