Final answer:
To simplify 2³ * 2⁴, add the exponents to get 7 and multiply the base 2 by itself 7 times. The final answer is 128.
Step-by-step explanation:
To simplify 2³ * 2⁴, we can apply the rule of exponents. The rule states that when you have the same base, you can add the exponents together. In this case, we have a base of 2 and exponents of 3 and 4. So, we add 3 and 4 to get 7. Therefore, 2³ * 2⁴ = 2⁷.
Now, to calculate 2⁷, we can write it as 2 * 2 * 2 * 2 * 2 * 2 * 2. Multiplying these 2's together, we get 128. Therefore, the simplified expression is 2³ * 2⁴ = 128.
Learn more about Simplifying Exponents