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

Answer:

b.1 over 3 to the 5th power.

Step-by-step 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 $3^4\cdot 3^{-9}=3^{4-9}=3^{-5}$

$3^4\cdot 3^{-9}=\frac{1}{3^5}$

Using $a^{-b}=\frac{1}{a^b}$

Hence, option b is true.

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