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Which expression is equivalent to 34 ⋅ 3−9?

1 over 3 to the 13th power
1 over 3 to the 5th power
35
313

User Rasso
by
8.0k points

2 Answers

4 votes
313 because you multiply then you subtract
User Mazaher Muraj
by
8.0k points
6 votes

Answer:

b.1 over 3 to the 5th power.

Explanation:

We are given that an expression


3^4\cdot 3^(-9)

We have to find that which expression is equivalent to given expression


3^4\cdot 3^(-9)

We know that
a^b+a^c=a^(b+c)

Using this identity

Then, we get
3^4\cdot 3^(-9)=3^(4-9)=3^(-5)


3^4\cdot 3^(-9)=(1)/(3^5)

Using
a^(-b)=(1)/(a^b)

Hence, option b is true.

Answer:b.1 over 3 to the 5th power.

User Lei Guo
by
8.3k points

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