Rational Exponents And Radicals Question Preview (ID: 48414)


Convert Between Fraction Exponents And Radical Form. TEACHERS: click here for quick copy question ID numbers.

Write √x⁸ in an equivalent form
a) x^4
b) x^8/1
c) x^8/0
d) x^1/4

Select the equation that is true.
a) x^1/2 = ∜x
b) x^1/4 = ∜x
c) x^4/1 = ∜x
d) x^0/4 = ∜x

Write in exponential form: √y⁵
a) y^5
b) y^5/1
c) y^5/2
d) y^2/5

Write in exponential form: ∜x⁷
a) x^4/7
b) x^7/4
c) x^7/2
d) x^1/4

Write in radical form: x^3/4
a) ∛x
b) ∜x
c) ∛x⁴
d) ∜x³

Write in radical form: x^4/3
a) ∛x
b) ∜x
c) ∛x⁴
d) ∜x³

Write in exponential form: ∛x²
a) x^1/2
b) x^2/3
c) x^1/3
d) x^3/2

Write in exponential form: √x
a) x^½
b) x^2
c) x^1
d) x^0

An exponent of ½ is the same as...
a) a square root
b) a cube root
c) squaring
d) cubing

An exponent of ⅓ is the same as...
a) a square root
b) a cube root
c) squaring
d) cubing

Simplify: 16^1/2
a) 8
b) 6
c) 5
d) 4

Simplify: 27^2/3
a) 27
b) 18
c) 9
d) 3

Simplify: 100^1/2
a) 100
b) 50
c) 25
d) 10

49^3/2
a) 24.5
b) 7
c) 343
d) 117,649

8^1/3
a) 2.667
b) 2
c) 8
d) 512

36^1/2
a) 6
b) 16
c) 18
d) 1,296

Write in exponential form: ∛7⁴
a) 7^4/3
b) 7^3/4
c) 3^4/7
d) 3^7/4

Write in radical form: 4^3/2
a) ∜3²
b) ∛4²
c) √3⁴
d) √4³

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