Question

What is twice 2^30? write using exponents. explain your reasoning.

Answer 1

Twice a number is that number multiplied by two. So, we have

`2\cdot 2^(30)`

When you multiply powers of the same base, you sum the exponents:

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

Which in your case means

`2^1 \cdot 2^(30) = 2^(1+30) = 2^(31)`