# How do you simplify #(9pq^9r^5s^9)(7pq^7rs^5)#?

When dealing with a problem like this, we look at each variable separately (and the constants also) and so something that looks long and scary can be broken down into little bits and worked on.

So we have:

Now everything here is being multiplied, so I can rewrite the above this way:

and rearrange the values like this:

and so now it's easier to combine the constants and variables with each other. I'll use brackets to help in organizing them:

And now we can remove the brackets to end up with:

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To simplify the expression (9pq^9r^5s^9)(7pq^7rs^5), you multiply the coefficients together and combine the variables with the same base by adding their exponents.

So, (9pq^9r^5s^9)(7pq^7rs^5) simplifies to 63p^2q^16r^6s^14.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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