The Power Rule of Exponents states that if you have a number raised to a power and you want to express it in terms of multiplication, you need to understand that the expression \( a^n \) can be expanded as multiplying the base \( a \) by itself \( n \) times.
For the expression \( 5^{10} \):
Using the Power Rule:
\[ 5^{10} = 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \]
This means that \( 5^{10} \) is the same as multiplying the number 5 by itself a total of 10 times.
In summary, the expanded equivalent expression of \( 5^{10} \) is:
\[ 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \]