Question 1

Simplify the following expression using the quotient rule: $$\frac{y^7$}{y^5$}$$

Accepted Answer

$$y^{2}$$

Question 2

What is the value of $$\frac{m^6$}{m^6$}$$ for $$m 
eq 0$$?

Accepted Answer

$$1$$

Question 3

Which rule allows you to simplify $$\frac{a^m}{a^n} as$$ $$a^{m-n}$$?

Accepted Answer

Quotient Rule

Question 4

Evaluate $$a^0$$ for $$a 
eq 0.$$

Accepted Answer

$$1$$

Question 5

Simplify $$\frac{y$$^{27}$$}{y^9$}.$$

Accepted Answer

$$y^{18}$$

Question 6

Simplify $$\frac{64}{16}.$$

Accepted Answer

$$4$$

Question 7

Evaluate $$(-4t)^0$$ for $$t 
eq 0.$$

Accepted Answer

$$1$$

Question 8

Simplify $$\frac{9}{16} \div \frac{3}{4}.$$

Accepted Answer

$$\frac{3}{4}$$

Question 9

Simplify $$\frac{12b$$^{11}$$}{4b^7$}.$$

Accepted Answer

$$3b^4$$

Question 10

Simplify $$\frac{9x^2$y^8$$}{$$3xy^2$$}$.

Accepted Answer

$$3xy^6$$

Question 11

Simplify $$\frac{30x^5$y^3z^3$}{-15x^2$y^3z$$}$.

Accepted Answer

$$-2x^3z^2$

Question 12

Simplify $$\frac{(x^2$)^4$$}{$$(x^3)^3$}.$$

Accepted Answer

$$x^{-1}$$

Question 13

Which of the following is equivalent to $$(3^4)^2$?

Accepted Answer

$$3^8$$

Question 14

Simplify $$(100^{26})^0$.

Accepted Answer

$$1$$

Question 15

Which of the following is the correct application of the power of a quotient rule for $$\left(\frac{a}{b}\right)^m$$?

Accepted Answer

$$\frac{a^m}{b^m}$$

Question 16

Simplify $$\left(\frac{3}{4}\$$right)^2$$.

Accepted Answer

$$\frac{9}{16}$$

Question 17

Simplify $$\$$left(-6^5$$\$$right)^5$$.

Accepted Answer

$$-6^{25}$$

Question 18

Simplify $$\$$left(4z^2$$\$$right)^3$$.

Accepted Answer

$$64z^6$$

Question 19

Simplify $$\$$left(x^2$$z^5$$\$$right)^4$.

Accepted Answer

$$x^8z$$^{20}$

Question 20

Simplify $$\$$left(-2x^4$$y^5$$\$$right)^4$.

Accepted Answer

$$16x^{16}y$$^{20}$

Exponents and Polynomials: Rules and Applications

Study Guide - Practice Questions