Test Section01ExponentsTest

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Problem 1.

(1 point)

$\displaystyle{\left({35(2b)^9\over7(2b)^{-1}}\right)} =$

A. $5(2b)^{12}$
B. $5(2b)^{-9}$
C. $(7\cdot35) (2b)^{-10}$
D. $25(40) b^{20}$
E. $5(2b)^{10}$

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Problem 2.

(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 3.

(1 point)

$\sqrt{r^3} =$

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

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Problem 4.

(1 point)

$\sqrt{w^8z^4} =$

A. $w^4 z^2$
B. $w^8 z^2$
C. $w^2 z$
D. $w^{16} z^{8}$
E. $w^{7/2} z^{15/2}$

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Problem 5.

(1 point)

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

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

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Problem 6.

(1 point)

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

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Problem 7.

(1 point)

Evaluate without using a calculator: $(-1)^3\sqrt{36}$

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Problem 8.

(1 point)

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

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

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Problem 9.

(1 point)

Evaluate without using a calculator: $8^0$

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Problem 10.

(1 point)

$x^e(x^e)^2 =$

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

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