Question

2^30 + 2^30 + 2^30 + 2^30 =

a) 8^120 b) 8^30 c) 8^32 d) 2^32 e) 2^30

Answer 1

The answer is D! Hope this helped.

Explanation:

Answer 2

D

Explanation:

`x+x+x+x=4 \cdot x \text{ or } 4x`

So
`2^(30)+2^(30)+2^(30)+2^(30)=4 \cdot 2^(30)`.

Now 4 can be rewritten so that it is 2 to some power.

4 is actually 2 to the second.

That is,
`4=2^2`.

So
`2^(30)+2^(30)+2^(30)+2^(30)=2^2 \cdot 2^(30)`.

Now there is a law of exponents that says if the bases are the same and your multiplying add the exponents.

`2^(30)+2^(30)+2^(30)+2^(30)=2^2 \cdot 2^(30)`.

`2^(30)+2^(30)+2^(30)+2^(30)=2^(32)`.