So this is equal to 2 * 3 * 5 is 30 and then * w^-5+4 by the product rule because

these bases are the same, we can add those exponents.

Same with the v terms. So it'll be v^-6+7 and finally we'll do

the same with the u terms. So it's u^7 + 2 which is = 30 * w^-1 * v^

= 1 * u^9. And then by the negative exponent rule,

this is = 30 * 1 / w^1. Remember, we want to write our answer

using only positive exponents, and when the exponent of a variable is 1, we

usually do not write it, so writing this as 1 fraction and dropping those

exponents of 1 gives us our answer of 30v, u^9 / w.

Alright, let's use another example. Let's simplify this expression and write

our answer using only positive exponents. Well, the first thing we can do is

simplify what's inside these parenthesis by again grouping like terms.

So this is equal to, let's group our numbers together so 6 / 3 and then times

grouping our m terms together. We have m / m^-1 and then finally

grouping the n terms together, we have (n^-2/n^2)^-3 which is equal to, 6 / 3 =

2 and then * m^1 - 1 - and this comes from the quotient rule because the bases

are the same we subtract the exponents. And we'll do the same with the n terms,

so it's (n^-2 - 2)^-3. And this is equal to 2m^2 because that's

(1 - 1 - * n^-4)^-3. And then, by the power of a product rule,

we can raise each of the factors to the -3rd power.

Which = 1 / 2 ^ +3 by our negative exponent rule.

And then times, we have a power of a power, so remember we multiply 2 * -3

which is -6. Same with the n term we have a power of a

power, so we multiply. So we have -4 * -3 which is +12.

And remember we want to write our answer using only positive, exponent.

So let's use that negative exponent rule again on this m term.

So this is equal to, we have 1 / 2 ^ 3 = 8.

And then we have 1 / m ^ +6, n ^ 12 And writing it as one fraction will give us

our answer of n ^ 12 / 8 * m ^ 6. And this is how we work with integer

exponents. Thank you, and we'll see you next time.

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