Test Section01ExponentsTest

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Problem 1.

(1 point)

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

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

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Problem 2.

(1 point)

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

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Problem 3.

(1 point)

Evaluate without using a calculator: $(-1)^{12}$

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Problem 4.

(1 point)

$\sqrt{r^3} =$

A. $r^1$
B. $r^{5/2}$
C. $r^{3/2}$
D. $r^{7/2}$
E. $r^{6}$

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Problem 5.

(1 point)

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

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Problem 6.

(1 point)

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

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

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Problem 7.

(1 point)

$3(3^{x/2})^2 =$

A. $9^{0.5x + 2}$
B. $3 (3^{0.5x + 2})$
C. $27^x$
D. $3^{x+1}$
E. $9^x$

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Problem 8.

(1 point)

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

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

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Problem 9.

(1 point)

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

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

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Problem 10.

(1 point)

$\displaystyle{12u^3\over3(uv^2w^4)^{-1}} =$

A. $4u^2v^2w^4$
B. $4u^4v^2w^4$
C. $36u^4v^2w^4$
D. $36u^2\over v^2w^4$
E. $4u^2\over v^2w^4$

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