How do you simplify #w^-4timesw^7#?

1 Answer
Jan 3, 2017

Answer:

#w^3#.

Explanation:

Based on the exponent product rule, which states that whenever you are multiplying exponents with the same base, you just add the exponents together and solve.

In this case #w# is the base and the numbers -4 and 7 represent the exponent:

http://slideplayer.com/slide/5707708/

Therefore, #w^-4xxw^7# becomes #w^(-4+7)#, which is equivalent to #w^3#.

So, #w^-4xxw^7# = #w^3#.