Question
Use the Power Rule of Exponents to simplify the expression (788)6
The second eight and six are exponents.
The second eight and six are exponents.
Answers
GPT-4o mini
To simplify the expression \((788)^6\) using the Power Rule of Exponents, we need to remember that the Power Rule states that \((a^m)^n = a^{m \cdot n}\).
In your expression, \(788\) can be seen as \(7.88 \times 10^2\) (in scientific notation), but we will first focus on the expression as given.
The expression \((788)^6\) just means that we are raising the entire number \(788\) to the power of \(6\). In this case, we don't have a nested exponent to simplify further using the Power Rule.
Thus, the expression fundamentally simplifies to:
\[
788^6
\]
If you want to calculate it, it would result in a very large number:
\[
788^6 = 304,130,775,905,979,244
\]
However, if you're only looking for simplification, the answer remains \((788)^6\).
If there are any specific manipulations you were looking to perform with this expression, please let me know!
In your expression, \(788\) can be seen as \(7.88 \times 10^2\) (in scientific notation), but we will first focus on the expression as given.
The expression \((788)^6\) just means that we are raising the entire number \(788\) to the power of \(6\). In this case, we don't have a nested exponent to simplify further using the Power Rule.
Thus, the expression fundamentally simplifies to:
\[
788^6
\]
If you want to calculate it, it would result in a very large number:
\[
788^6 = 304,130,775,905,979,244
\]
However, if you're only looking for simplification, the answer remains \((788)^6\).
If there are any specific manipulations you were looking to perform with this expression, please let me know!