 It is currently 15 Sep 2019, 10:46 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # Use the rules of exponents to simplify the following.  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Founder  Joined: 18 Apr 2015
Posts: 8062
Followers: 155

Kudos [?]: 1685 , given: 7391

Use the rules of exponents to simplify the following. [#permalink]
Expert's post
Use the rules of exponents to simplify the following.

(a) $$(n^5)(n^{-3})$$

(b) $$(s^7)(t^7)$$

(c) $$\frac{r^{12}}{r^4}$$

(d) $$(\frac{2a}{b})^5$$

(e) $$(w^5)^{-3}$$

(f) $$(5^0)(d^3)$$

(g) $$\frac{(x^{10})(y^{-1})}{(x^{-5})(y^5)}$$

(h) $$\frac{(\frac{3x}{y})^2}{(\frac{1}{y})^5}$$

[Reveal] Spoiler: OA
(a) $$n^2$$ (b) $$(st)^7$$ (c) $$r^8$$ (d) $$\frac{32a^5}{b^5}$$ (e) $$\frac{1}{w^{15}}$$ (f) $$d^3$$ (g) $$\frac{x^{15}}{y^6}$$ (h) $$9x^2y^3$$

Math Review
Question: 5
Page: 244
Difficulty: medium

_________________
GRE Instructor Joined: 10 Apr 2015
Posts: 2371
Followers: 77

Kudos [?]: 2330 , given: 33

Re: Use the rules of exponents to simplify the following. [#permalink]
Expert's post
Carcass wrote:
Use the rules of exponents to simplify the following.

(a) $$(n^5)(n^{-3})$$

(b) $$(s^7)(t^7)$$

(c) $$\frac{r^{12}}{r^4}$$

(d) $$(\frac{2a}{b})^5$$

(e) $$(w^5)^{-3}$$

(f) $$(5^0)(d^3)$$

(g) $$\frac{(x^{10})(y^{-1})}{(x^{-5})(y^5)}$$

(h) $$\frac{(\frac{3x}{y})^2}{(\frac{1}{y})^5}$$

[Reveal] Spoiler: OA
(a) $$n^2$$ (b) $$(st)^7$$ (c) $$r^8$$ (d) $$\frac{32a^5}{b^5}$$ (e) $$\frac{1}{w^{15}}$$ (f) $$d^3$$ (g) $$\frac{x^{15}}{y^6}$$ (h) $$9x^2y^3$$

Math Review
Question: 5
Page: 244
Difficulty: medium

(a) $$(n^5)(n^{-3})=n^{5+(-3)}=n^2$$

(b) $$(s^7)(t^7)=(st)^7$$

(c) $$\frac{r^{12}}{r^4}=r^{12-4}=r^8$$

(d) $$(\frac{2a}{b})^5=\frac{(2a)^5}{b^5}=\frac{2^5a^5}{b^5}=\frac{32a^5}{b^5}$$

(e) $$(w^5)^{-3}=w^{5 * -3}=w^{-15}=\frac{1}{w^{15}}$$

(f) $$(5^0)(d^3)=(1)(d^3)=d^3$$

(g) $$\frac{(x^{10})(y^{-1})}{(x^{-5})(y^5)}=(\frac{x^{10}}{x^{-5}})(\frac{y^{-1}}{y^5})=x^{15}y^{-6}=\frac{x^{15}}{y^6}$$

(h) $$\frac{(\frac{3x}{y})^2}{(\frac{1}{y})^5}=\frac{\frac{9x^2}{y^2}}{(\frac{1^5}{y^5})}=(\frac{9x^2}{y^2})(\frac{y^5}{1^5})=\frac{9x^2y^5}{y^2}=9x^2y^3$$

RELATED VIDEOS FROM MY COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Day emails Re: Use the rules of exponents to simplify the following.   [#permalink] 24 May 2019, 12:46
Display posts from previous: Sort by

# Use the rules of exponents to simplify the following.  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.