+0

simplify this expression, using positive exponents only?

0
322
2

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

Aug 9, 2017

#1
+2298
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.
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

Aug 9, 2017
edited by Guest  Aug 9, 2017