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I need help with this question. Pls give me an answer /steps and explanations.

I need help with this question. Pls give me an answer /steps and explanations.-example-1

2 Answers

2 votes

Answer:


30s^5t^9u^(10)v^8

Explanation:

We'll be using the following exponent property to solve this problem:


a^b\cdot a^c=(a)^(b+ c)

This will allow us to combine terms with the same variable.

In
(5st^3u^9v^7)(6s^4t^6uv), we have four variables,
s,
t,
u, and
v.

Let's start with the
s terms,
5s and
6s^4. The number in front of each term is called the coefficients, and can be multiplied directly. Remember that if there is no exponent written, it's the same thing as if there was an exponent of 1.

Therefore, combine using the exponent property I mentioned above:


5\cdot 6\cdot s^1\cdot s^4=30\cdot s^(1+4)=30s^5

Next, we'll move on to the
t terms,
t^3 and
t^2.

Combine using the exponent property:


t^3\cdot t^6=t^(3+6)=t^9

Repeat for the
u and
v terms:


u^9\cdot u=u^(9+1)=u^(10)


v^7\cdot v=v^(7+1)=v^8

Finally, combine all the terms together:


\implies \boxed{30s^5t^9u^(10)v^8}

User Renaud Bompuis
by
4.5k points
5 votes


\bold{30s^(5)t^(9)u^(10)v^(8)}

Answer:

Express your answer using positive exponent.


\bold{(5st³u^(9)v^(7))(6s⁴t^(6)uv)}

adding power of common term and multiply constant term:


\bold{5*6*s^(1+4)*t^(3+6)*u^(9+1)*v^(7+1)}


\bold{30s^(5)*t^(9)*u^(10)*v^(8)}


\bold{30s^(5)t^(9)u^(10)v^(8)}

User Naftsen
by
4.3k points