Solve the Exponential Product: 8^7 × 10^7

Choose the expression that corresponds to the following:

$8^7\times10^7=$

To solve the expression $8^7 \times 10^7$, we can use the power of a product rule, which states that $a^m \times b^m = (a \times b)^m$. Here,$a = 8$ and $b = 10$, and both are raised to the same power:$m = 7$.

Following these steps:

• Identify the base numbers and the common exponent: here, the base numbers are $8$ and $10$, and the common exponent is $7$.

• Apply the power of a product rule: Instead of multiplying $8^7$ and $10^7$ directly, we apply the rule to get $(8 \times 10)^7$.

• This simplifies to $(80)^7$.

therefore, the rewritten expression is $\left(8 \times 10\right)^7$.