Using the properties of exponents to generate an equivalent expression, which of the following would be the rational exponent on an expression equivalent to 216√3
?(1 point)
Responses
−3
1/3
3
−1/3
The rational exponent that is equivalent to the expression 216√3 is 2/3.
Using the properties of exponents to generate an equivalent expression, which of the following would be the rational exponent on an expression equivalent to 3√216
?(1 point)
Responses
−3
1/3
3
−1/3
The rational exponent that is equivalent to the expression ∛216 is 1/3.
Which of the following is an equivalent expression for (5^1/2)/3√125
when simplified using exponent properties?(1 point)
Responses
√5/5
1
5^0
1/5
The equivalent expression for (5^1/2)/(3√125) when simplified using exponent properties is √5/5.
Which of the following is an equivalent expression to 81 ^ -1/2
?(1 point)
Responses
1/√81
√81
−√81
−1/√81
An equivalent expression to 81 ^ -1/2 is 1/√81.
Use the properties of exponents to determine whether the equation 10^ -1/3 = 3√10 is true or false. Select the response that correctly answers the question and provides the appropriate justification.(1 point)
Responses
True, because the negative sign moves to the front when writing an equivalent expression.
False, because according to the Negative Exponent Rule, the equation should be 10^ -1/3 = −1/ 3√10
True, because the Negative Exponent Rule requires that the number be rewritten as a negative value
False, because the Negative Exponent Rule requires that the number be rewritten as a quotient, not as a negative value.
.
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