Test Section01ExponentsTest

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Problem 1.

(1 point)

$\sqrt{48u^{10}v^{12}y^5} =$

A. $\sqrt{48}\, u^{19/2} v^{23/2} y^{9/2}$
B. $7 u^5 v^6 y^{9/2}$
C. $2\sqrt{12}\, u^{9/2} v^{11/2} y^{5/2}$
D. $4\sqrt{3}\, u^5 v^6 y^{5/2}$
E. $2\sqrt{12}\, u^{19/2} v^{23/2} y^{9/2}$

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Problem 2.

(1 point)

Evaluate without using a calculator: $\sqrt{4^{4}}$

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Problem 3.

(1 point)

$(0.1)^2 (4xy^2)^2 =$

A. $(.4)^2 x^3 y^4$
B. $0.16 x^2 y^4$
C. $16 xy^4$
D. $(.4)^2 x y^4$
E. $0.32 x^3 y^4$

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Problem 4.

(1 point)

$\sqrt{8m}\sqrt{2m^3} =$

A. $\sqrt{8}\sqrt{2}\, m^{1/2} m^{3/2}$
B. $3\sqrt{2}\, m^2$
C. $\sqrt{10}\, (m^{3/2} + m^{1/2})$
D. $3\sqrt{2}\, m^{3/2}$
E. $4 m^2$

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Problem 5.

(1 point)

$(y^{-2}\, e^y)^2 =$

A. $e^{2y}\over y$
B. ${e^{2y}\over y^4}$
C. $e^{y^2}$
D. $e^{y+2}$
E. $y^4 e^{2y}$

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Problem 6.

(1 point)

$\root3\of{27u^6v^3} =$

A. $3u^{1/2}\, v$
B. $\root3\of{27}\,u^{1/2} v$
C. $3u^2\,v$
D. $\root3\of{27}\,u^{3}$
E. $3u^6\,v$

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Problem 7.

(1 point)

$(4L^2P)^{3/2}(P)^{-3/2} =$

A. $16 L^{3/4} P^{-1/2}$
B. $\sqrt{4^3}\, L^{7/2} P$
C. $8 L^3$
D. $\sqrt{4^3}\, L^{7/2}$
E. $8 L^3 P$

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Problem 8.

(1 point)

$\sqrt{50x^4y^6} =$

A. $2\sqrt5\, x^2 y^3$
B. $\sqrt{50}\, x^{7/2} y^{11/2}$
C. $5\sqrt{10}\, x^{7/2} y^{11/2}$
D. $25 x y^{3/2}$
E. $5\sqrt2\, x^2 y^3$

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Problem 9.

(1 point)

Evaluate without using a calculator: $-8^2$

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Problem 10.

(1 point)

Evaluate without using a calculator: $\sqrt{4^3}$

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