To simplify the expression \((4)^{-2}\), we need to understand the meaning of a negative exponent. The negative exponent rule states that \(a^{-n} = \frac{1}{a^n}\), where \(a \neq 0\).
Using this rule, we can rewrite the expression \((4)^{-2}\) as:
\[ (4)^{-2} = \frac{1}{4^2} \]
Next, we calculate \(4^2\):
\[ 4^2 = 16 \]
So we have:
\[ \frac{1}{4^2} = \frac{1}{16} \]
Therefore,
\[ (4)^{-2} = \frac{1}{16} \]
The simplified expression is \(\frac{1}{16}\).
16.
Simplify the expression.
(4)−2
1 answer
1 answer