Test Section01ExponentsTest

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Problem 1.

(1 point)

$\root3\of{s^2t^3v^6} =$

A. $s^{5/3}\, t^{8/3}\, v^{17/3}$
B. $s^{2/3}\, t\, v^2$
C. $s^{-1}\, v^3$
D. $s^{2/3} + t + v^2$
E. $s^2\, t^3\, v$

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Problem 2.

(1 point)

$\sqrt{6s^2t^3v^5}\sqrt{6st^5v^3} =$

A. $\sqrt{6}\, s^3 t^8 v^4$
B. $\sqrt{12}\, s^{3/2} t^4 v^4$
C. $6\, s^{3/2} t^4 v^4$
D. $2 \sqrt{6}\, s^3 t^8 v^4$
E. $\sqrt{12}\, s^{9/2} t^{15/2} v^{15/2}$

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Problem 3.

(1 point)

$\sqrt{x^5 y^4} =$

A. $x^{5/2} y^2$
B. $x^{11/2} y^{5/2}$
C. $x^{10} y^{4}$
D. $x^{5} y$
E. $x^{9/2} y^{3/2}$

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Problem 4.

(1 point)

Evaluate without using a calculator: $10^{8}\over 10^5$

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Problem 5.

(1 point)

$(3AB)^{-1}(A^2B^{-1})^2 =$

A. ${1\over3}\left({A\over B}\right)^3$
B. $3{A^3\over B^3}$
C. $3{A^{3}}$
D. ${A^4 B\over 3AB}$
E. ${A^3\over 3}$

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Problem 6.

(1 point)

Evaluate without using a calculator: $\root3\of{27^{2}}$

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Problem 7.

(1 point)

$\sqrt{25 x^3 z^4} =$

A. $5 x^{5/2} z^{7/2}$
B. $5 x^{3/2} z^0$
C. $5 x^{3/2} z^2$
D. $25 x^{5/2} z^{7/2}$
E. $25 x^{3/2} z^2$

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Problem 8.

(1 point)

Evaluate without using a calculator: $\sqrt{(-7)^{2}}$

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Problem 9.

(1 point)

$5u^2+5u^3 =$

A. $10u^5$
B. $5u^2(u+1)$
C. $25u^6$
D. $10u^6$
E. $10u$

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Problem 10.

(1 point)

$\sqrt{M+2}\,(2+M)^{3/2} =$

A. $(M+2)^{1/2}\, (2+M)^{3/2}$
B. $(M+2)^{1/2}(1 + (M+2)^3)$
C. $(M+2)^2$
D. $2(M+2)^3$
E. $(2+M)^{3/4}$

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