+0

simplify this expression, using positive exponents only?

0
84
2

[(p)^-6(p)^2]^-3

Guest Aug 9, 2017
Sort:

#1
+1221
0

Okay, I will attempt to simplify the expression of $$(p^{-6p^2})^{-3}$$ with only positive exponents:

 $$(p^{-6p^2})^{-3}$$ Use the exponent rule that $$a^{-b}=\frac{1}{a^b}$$ $$\frac{1}{(p^{-6p^2})^3}$$ Use the exponent rule that states that $$(a{^b})^c=a^{b*c}$$. $$\frac{1}{p^{-6p^2*3}}$$ Combine like terms in the exponent. $$\frac{1}{p^{-18p^2}}$$ This expression is simplified as much as possible.
TheXSquaredFactor  Aug 9, 2017
#2
0

[(p)^-6(p)^2]^-3

simplify  1/(p^2/p^6)^3

=1/[p^6 / p^18]  Take the reciprocal of it:

=p^18 / p^6

=p^(18 - 6)

=p^12

Guest Aug 9, 2017
edited by Guest  Aug 9, 2017

13 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details