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

1 Answer
Jan 6, 2017

Answer:

#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/

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.