To simplify the expression \((4g^{10})^4\), you need to apply the power rule for exponents, which states that \((a^m)^n = a^{m \cdot n}\). Here, \(a = 4g^{10}\), \(m = 1\), and \(n = 4\).
First, you should separate the constants from the variables:
\[
(4g^{10})^4 = 4^4 \cdot (g^{10})^4
\]
Now, calculate each part individually:
\[
4^4 = 4 \cdot 4 \cdot 4 \cdot 4 = 256
\]
And for the variable part:
\[
(g^{10})^4 = g^{10 \cdot 4} = g^{40}
\]
So the expression simplifies to:
\[
256g^{40}
\]
Therefore, \((4g^{10})^4 = 256g^{40}\).
22.
Simplify the expression.
(4g10)4
1 answer