Question

Rewrite the following expressions.(2 points)

27^1/2 * 27^1/4

Question 2
What exponent property justifies your answer above?(1 point)
Responses

Zero Exponent Rule
Zero Exponent Rule

Negative Exponent Property
Negative Exponent Property

Power to a Power
Power to a Power

Quotient Rule
Quotient Rule

Product Rule
Product Rule
Question 3
Write an equivalent expression.(2 points)
−(b^1/4)^12

Question 4
What exponent property justifies your answer above?(1 point)
Responses

Negative Exponent Property
Negative Exponent Property

Quotient Property
Quotient Property

Product Property
Product Property

Power to a Power
Power to a Power

Zero Exponent Property
Zero Exponent Property
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Answer 1

Question 1
27^{1/2} * 27^{1/4} = 27^{1/2 + 1/4} = 27^{3/4} (which equals 3^{9/4} or 9·3^{1/4})

Question 2
Product Rule (a^m * a^n = a^{m+n})

Question 3
−(b^{1/4})^{12} = − b^{(1/4)*12} = − b^3

Question 4
Power to a Power ( (a^m)^n = a^{mn} )