Question

Which expression is equivalent to 2^8? A) 8^2 B) 2•8 C) 2^4 • 1^4 D) 2^4 • 2^2 E) 2^4 • 2^4

Answer 1

E)
`2^(4) * 2^(4)`

Explanation:

By properties of exponents, when multiplying two numbers that have the same base, you can add the exponents. Therefore:

`2^(8)=2^(4) * 2^(4)\\2^(8)=2^((4+4))\\2^(8)=2^(8)`