Quiz about Exponents and Roots Quiz

Question 1

Find the simplified form of $$( \frac{2t^5u^3}{4t^4} )^3 $$ . Assume that no denominator equals zero.

Accepted Answer

$$\frac{t^3u^9}{8}$$

Answer

$$\frac{t^3u^9}{2}$$

Answer

$$\frac{2t^3u^9}{32}$$

Answer

$$\frac{tu^6}{8}$$

Question 2

True or False: $$\left( -\frac{5}{6} \right)^0 = 0$$

Accepted Answer

False

Answer

True

Question 3

Fill in the blank: The expression $$(8x^0 y^2 z^5) / (2y^2 z^3)$$ simplifies to ____.

Accepted Answer

$$4z^2$$

Answer

$$4xyz^2$$

Answer

$$16z^2$$

Question 4

Simplify $$\frac{5a^{-7}b^4}{15a^2b^{-6}}$$ . Assume that no denominator equals zero.

Accepted Answer

$$\frac{b^{10}}{3a^9}$$

Answer

$$\frac{a^7}{3b^2}$$

Answer

$$\frac{1}{3a^7b^2}$$

Answer

$$\frac{1}{3a^7b^{-10}}$$

Question 5

Simplify $$\sqrt{84}$$ . What is the simplified form?

Accepted Answer

(A) $$2\sqrt{21}$$

Answer

(B) $$3\sqrt{14}$$

Answer

(C) $$4\sqrt{7}$$

Answer

(D) $$6\sqrt{2}$$

Question 6

Solve 4 = $$16^{x - 2}$$ .

Accepted Answer

2.5

Answer

0

Answer

5

Answer

3

Question 7

Simplify

Accepted Answer

12

Answer

16

Answer

10

Answer

14

Question 8

Simplify.

Accepted Answer

y15

Answer

y5

Answer

y2

Answer

2y5

Answer

none of the answer choices

Question 9

Simplify.

Accepted Answer

y4

Answer

y60

Answer

1/y16

Answer

y-16

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