To express "raised the product of 40 and 8 to the power of the sum of 3 and 4," you can break it down into two parts:
- The product of 40 and 8: \( 40 \times 8 \)
- The sum of 3 and 4: \( 3 + 4 \)
Now, you need to raise the product to the power of the sum:
So, the expression can be written as:
\[ (40 \times 8)^{(3 + 4)} \]
This simplifies to:
\[ (40 \times 8)^{7} \]
Therefore, the final expression is:
\[ (40 \times 8)^{7} \]