How do you simplify 2^4*2^5?

1 Answer
Jan 6, 2017

2^9 or 512

Explanation:

Based on the exponent product rule, which states that whenever you are multiplying exponents with the same base, you just add the exponents together and solve.

In this case 2 is the base and the numbers 4 and 5 represent the exponent: http://slideplayer.com/slide/5707708/http://slideplayer.com/slide/5707708/

Therefore, 2^4xx2^5 becomes 2^(4+5), which is the same as 2^9 or 2xx2xx2xx2xx2xx2xx2xx2xx2.

After you multiply everything together you'll obtain a value of 512.