Use the Power Rule of Exponents to simplify the expression (78^8)^6.
To simplify the expression, we apply the power rule of exponents: $(a^m)^n = a^{mn}$. In this case, $a=78^8$ and $n=6$, so we have $(78^8)^6 = 78^{8\cdot 6} = 78^{48}$.
Thus, the simplified expression is $78^{48}$.
can you simplify this better?
To simplify the expression further, we can rewrite $78^{48}$ as $(6\cdot 13)^{48}$. Applying the power rule again, we get $(6\cdot 13)^{48} = 6^{48}\cdot 13^{48}$.
So, the simplified expression is $6^{48}\cdot 13^{48}$.
To simplify the expression (78^8)^6 using the Power Rule of Exponents, we multiply the exponents.
First, we raise 78 to the power of 8, which gives us 78^8.
Then, we raise the result to the power of 6, which gives us (78^8)^6.
Applying the Power Rule of Exponents, we multiply the exponents, so 78^(8*6).
Simplifying the exponent, we have 78^48 as the final answer.
To simplify the expression (78^8)^6 using the Power Rule of Exponents, we need to multiply the exponents together.
The Power Rule states that for any base raised to a power, and then raised to another power, we can simply multiply the exponents.
In this case, the base is 78 and the first exponent is 8. We want to raise this entire expression to the power of 6.
So, applying the Power Rule, we multiply the exponents together:
8 * 6 = 48
Therefore, we have (78^8)^6 = 78^48.
Therefore, the simplified expression is 78^48.