Can someone help me simplify 3p^2q^5x2p^4q?

1 Answer
Feb 19, 2018

See a solution process below:

Explanation:

First, rewrite the expression:

#3p^2q^5x2p^4q# as:

#(3 * 2)(p^2 * p^4)(q^5 * q)x =>#

#6(p^2 * p^4)(q^5 * q)x#

Next, use this rule of exponents to rewrite the expression again:

#a = a^color(red)(1)#

#6(p^2 * p^4)(q^5 * q^color(red)(1))x#

Now, use this rule of exponents to simplify the #p# and #q# terms:

#x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#6(p^color(red)(2) * p^color(blue)(4))(q^color(red)(5) * q^color(blue)(1))x =>#

#6p^(color(red)(2)+color(blue)(4))q^(color(red)(5)+color(blue)(1))x =>#

#6p^6q^6x#