Use the Product Rule of Exponents to simplify the expression 24⋅22 .(1 point) Remaining Attempts : 3

Answer 1

The Product Rule of Exponents states that when you multiply two expressions with the same base, you can add their exponents.

Given the expression \( 24 \cdot 22 \):

1. Notice that the bases are the same (both are base 2).
2. You can add the exponents:

\[ 24 + 22 = 26 \]

Thus, \( 24 \cdot 22 = 2^{4} \cdot 2^{2} = 2^{4+2} = 2^{6} \).

So, the simplified expression is \( 2^{6} \).

If you also need the numerical value: \[ 2^6 = 64. \]

Therefore, the simplified expression is \( 2^6 \) or \( 64 \).