Question 1

Which of the following is the correct value of $$(-3)^4$$?

Accepted Answer

$$81$$

Question 2

What is the simplified form of $$a^5$$ 	imes $$a^3$$?

Accepted Answer

$$a^8$$

Question 3

Evaluate $$\dfrac{y$$^{10}$$}{y^4$}.$$

Accepted Answer

$$y^6$$

Question 4

Which of the following is always true for any nonzero number $$a$$?

Accepted Answer

$$a^0 = 1$

Question 5

Simplify $$\dfrac{2$$^{-3}$$}{2^2$}.$$

Accepted Answer

$$2^{-5}$$

Question 6

If $$(-a)^{2n} is $$evaluated for any integer $$n$$, what is the result?

Accepted Answer

$$a^{2n}$$

Question 7

Which of the following correctly applies the negative exponent rule to $$x^{-4}$$?

Accepted Answer

$$\dfrac{1}{x^4$}$$

Question 8

A radioactive substance decays such that its mass at time $$t is $$given by $$M(t) = M_0$ \cdot 2$$^{-t/3}$$. What is the value of M(6$$)$$ in terms of M_0$?

Accepted Answer

$$M_0$$ \cdot $$2^{-2}$$

Question 9

Simplify the expression $$\left(\dfrac{3^2$}{3^5$}\$$right)^{-1}$$.

Accepted Answer

$$3^3$$

Question 10

Which of the following is equivalent to $$\dfrac{a$$^{-2}$$}{b$$^{-3}$$}$$?

Accepted Answer

$$\dfrac{b^3$}{a^2$}$$

Question 11

If $$(-2)^3 is $$evaluated, what is the result?

Accepted Answer

$$-8$$

Question 12

Which of the following is the correct application of the product rule for exponents?

Accepted Answer

$$a^m 	imes a^n = a$$^{m+n}$$

Question 13

A biologist is studying bacteria growth modeled by $$N(t) = N_0$ \cdot 3$$^{2t}$$. If N_0$ = 100$$ and $$t = 1$$, what is $$N(1)$$?

Accepted Answer

$$100 \cdot 3^2$

Question 14

Simplify $$\left(\dfrac{x^3$ y$$^{-2}$$}{x$$^{-1}$$ y^4$}\right).$$

Accepted Answer

$$x^4$$ $$y^{-6}$$

Question 15

Which of the following is the correct value of $$1^{1000}$$?

Accepted Answer

$$1$$

Question 16

A medication's concentration decreases by half every hour. If the initial concentration is $$C_0$$, what is the concentration after $$n$$ hours?

Accepted Answer

$$C_0$$ \cdot $$2^{-n}$$

Question 17

Simplify $$\left(\dfrac{2^4$}{2^7$}\$$right)^2$$.

Accepted Answer

$$2^{-6}$$

Question 18

Which of the following is the correct application of the quotient rule for exponents?

Accepted Answer

$$a^m / a^n = a$$^{m-n}$$

Question 19

If $$a^{-n} is in $$the denominator of a fraction, how can it be rewritten?

Accepted Answer

$$a^n in $$the numerator

Question 20

Which of the following is the correct value of $$(-4)^2$$?

Accepted Answer

$$16$$

123

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