Use the Power Rule of Exponents to simplify the expression (78)^6

1 answer

The Power Rule of Exponents states that \((a^m)^n = a^{m \cdot n}\). However, the expression \( (78)^6 \) is already in its simplest form because it is a single base raised to an exponent.

If you were looking to compute \( (78)^6 \) or further manipulate it, you'd have to either evaluate it numerically or express it in a different way. For example:

\[ 78^6 = 78 \times 78 \times 78 \times 78 \times 78 \times 78 \]

If evaluated, \( 78^6 \) equals \( 12,106,332,600,000 \).

In conclusion, \( (78)^6 \) is already simplified and does not require further simplification using the Power Rule. If there's a specific aspect you would like addressed regarding the expression, please let me know!