Expand the Expression: Calculate 7^8 Step by Step

Expand the following equation:

$7^8=$

To address this problem, we need to verify the set of exponent rules for each choice provided and determine which, if any, results in $7^8$.

Let's explore and verify the provided choices:

• Choice 1: $7^2 \times 7^4$

Using the rule $a^m \times a^n = a^{m+n}$, we have:

$7^2 \times 7^4 = 7^{2+4} = 7^6$

This does not equal $7^8$.

• Choice 2: $7^8 \times 7^1$

Using the rule $a^m \times a^n = a^{m+n}$, we have:

$7^8 \times 7^1 = 7^{8+1} = 7^9$

This does not equal $7^8$.

• Choice 3: $7^4 \times 7^2$

Using the rule $a^m \times a^n = a^{m+n}$, we have:

$7^4 \times 7^2 = 7^{4+2} = 7^6$

This does not equal $7^8$.

Upon evaluating all given choices, none of the expressions equal $7^8$.

Therefore, based on the analysis, the correct choice is None of the answers are correct.