Rational to Radical
Write x1/2 as a radical
What is the square root of x?
Evaluate: log525
What is 2?
Write 32 = 9 as a log
What is log39 = 2?
Simplify: x2 * 3x3
What is 3x5?
Multiply the coefficients (no parentheses) and ADD the exponents
Square root of X
What is x1/2?
Write (5x)2/3 as a radical
What is the 3rd root of (5x) squared?
Evaluate: log51/25
What is -2?
Write the square root of 25 = 5 as a log
What is log255 = 1/2?
Simplify (5x)3
What is 125x3?
Cube root of Y
What is Y1/3?
Write 4-5/6 as a radical
What is 1 over the 6th root of 4 to the 5th power?
Evaluate: log164
What is 1/2?
Write 4-2 = 1/16 as a log
What is log41/16 = -2
Simplify: 2(x3)-2
What is 2/x6?
Power Rule: multiply exponents
Negative Exponent: move to bottom
No parentheses: exponent only applies to the "x"
5th root of m to the 3rd power
What is m5/3?
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Evaluate: log1/21/8
What is 3?
Write (1/2)3 = 1/8 as a Log
What is log1/21/8 = 3?
Simplify: (3w3/5w5)
What is (3/5)(w-2) or 3/5w2?
Quotient Rule: subtract the exponents bottom from top
Negative Exponent Rule: keep on top as negative or move to the bottom as positive
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Easy Money!
Write 6(9x)1/3 as a radical
What is 6 times the cube root of (9x)?
Evaluate: log361/6
What is -1/2?
Write 64-1/3 = 1/4 as a log
Log641/4 = -1/3
Simplify (2-2x3y-4/x0)2
What is x6/16y8?
Power Rule: multiply exponents
Negative exponent: move to bottom
Anything raised to 0 = 1
15th root of xy to the 7th power
What is (xy)7/15?