How do you simplify w^-4timesw^7w−4×w7?

1 Answer
Kayla
Jan 3, 2017

w^3w3.

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 ww is the base and the numbers -4 and 7 represent the exponent:

![http://slideplayer.com/slide/5707708/](useruploads.socratic.org)

Therefore, w^-4xxw^7w−4×w7 becomes w^(-4+7)w−4+7, which is equivalent to w^3w3.

So, w^-4xxw^7w−4×w7 = w^3w3.

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