To simplify the expression \((x^9)^0 (x^7)^2\), let's break it down step-by-step:
1. First, apply the zero exponent rule which states that any non-zero number raised to the power of 0 is 1:
\[
(x^9)^0 = 1
\]
Thus, the expression now looks like this:
\[
1 \cdot (x^7)^2
\]
2. Next, simplify \((x^7)^2\) using the power of a power rule which states that \((a^m)^n = a^{m \cdot n}\):
\[
(x^7)^2 = x^{7 \cdot 2} = x^{14}
\]
3. Now, multiply the results:
\[
1 \cdot x^{14} = x^{14}
\]
So, the simplified expression is:
\[
x^{14}
\]
Therefore, the correct answer is:
\[
\boxed{x^{14}}
\]
14.
Simplify the expression.
(x9)0(x7)2
1
x14
x126
x18
1 answer
1 answer