find (1/2)^-²+(1/8)^-²+(1/4)^-²
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Answer:
Answer:
Value \: of \: \left(\frac{1}{2}\right)^{-2}+\left(\frac{1}{3}\right)^{-2}+\left(\frac{1}{4}\right)^{-2}=29Valueof(
2
1
)
−2
+(
3
1
)
−2
+(
4
1
)
−2
=29
Step-by-step explanation:
Value \: of \: \left(\frac{1}{2}\right)^{-2}+\left(\frac{1}{3}\right)^{-2}+\left(\frac{1}{4}\right)^{-2}Valueof(
2
1
)
−2
+(
3
1
)
−2
+(
4
1
)
−2
=2^{2}+3^{2}+4^{2}=2
2
+3
2
+4
2
\begin{gathered} By \: Exponential Law:\\\boxed {a^{-n} = \frac{1}{a^{n}}}\end{gathered}
ByExponentialLaw:
a
−n
=
a
n
1
\begin{gathered}= 4+9+16\\=29\end{gathered}
=4+9+16
=29
Therefore,
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