How do you multiply #(6y ^ { 4} ) ( 7y )#?

1 Answer
Mar 4, 2017

See the entire solution process below:

Explanation:

First, rewrite this expression as:

#(6 * 7)(y^4 * y) = 42(y^4 * y)#

Now, use these two rules of exponents to complete the simplification:

#a = a^color(blue)(1)# and #x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#42(y^4 * y) = 42(y^color(red)(4) * y^color(blue)(1)) = 42y^(color(red)(4) + color(blue)(1)) = 42y^5#