Question

What would be an expanded equivalent expression of 7 to the 15th power?

Answer 1

To express \( 7^{15} \) in an expanded form, you can rewrite it using repeated multiplication:

\[
7^{15} = 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7
\]

Alternatively, it can also be expressed in terms of factors of smaller powers of 7. For example:

\[
7^{15} = (7^5)^3
\]
This is equivalent to:

\[
(7 \times 7 \times 7 \times 7 \times 7)^3
\]

You can choose which form you prefer based on your needs. If you seek numeric values, \( 7^{15} \) calculates to 4747561509943.

If you need the expression in a different manner, such as a binomial expansion or other forms, please let me know!