Final answer:
The expression 7³ * 2³ evaluates to 14³ which is equivalent to the numerical value of 2744. The given options do not represent the correct process or outcome.
Step-by-step explanation:
To find an equivalent expression for 7³ * 2³, we need to apply the properties of exponents. Since both terms have the same exponent, we can multiply the bases first and then apply the exponent.
Therefore, we first calculate 7 * 2, which equals 14, and then raise it to the third power to get the equivalent expression. 14³, which is the same as 7³ * 2³ because of the commutative property of multiplication and the power of a product property.
Now, it's clear that the expression 14³ does not match any of the options provided. So, we need to find a different way to express 7³ * 2³. What we're actually doing is calculating the result of 7³ and 2³ separately and then multiplying them. Since the exponents are the same, we do not multiply the exponents; we multiply the results of each base raised to that power. Thus, 7³ gives us 343, and 2³ gives us 8.
Then the product of 343 and 8 gives the final result, which is 2744. None of the answer choices (A. 7⁶ * 2⁶ B. 7⁹ * 2⁹ C. 7³ * 2⁶ D. 7⁶ * 2³) represent this process properly, so either there is a mistake in the options, or there might be additional context that could lead to one of these options being correct.