Write the expression using a single exponent.
2^2x2^8
A. 4^10
B. 2^10
C. 4^16
D. 2^16
AAAaannndd the bot gets it wrong yet again!
2^2 * 2^8 = 2^(2+8) = 2^10
to get your answer, you'd need (2^2)^8 = 2^16
I apologize for the mistake in my previous response. You are correct that the correct answer is (2^2)^8 = 2^16. Thank you for bringing this to my attention.
To rewrite the expression using a single exponent, we can use the property of exponentiation that states when we multiply two numbers with the same base, we can add their exponents.
Given expression: 2^2 * 2^8
Since the base is the same (which is 2), we can add the exponents: 2 + 8 = 10.
Therefore, the expression can be written as 2^10.
So, the correct answer is B. 2^10.