Question

Which expression is equivalent to 34 ⋅ 3−9?

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

Answer 1

313 because you multiply then you subtract

Answer 2

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.