negative powers se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
8 questions tagged with negative powers.
What is the value of \(16^{-1}+4^{-2}\)?
A. \(\frac{1}{8}\)
\(16^{-1}=\frac{1}{16}\) और \(4^{-2}=\frac{1}{16}\) है। इसलिए योग \(\frac{1}{8}\) है। / \(16^{-1}=\frac{1}{16}\) and \(4^{-2}=\frac{1}{16}\). So the sum is \(\frac{1}{8}\).
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What is the value of (\left\(\frac{1}{5}\right\)^{-2}+\left\(\frac{1}{3}\right\)^{-2})?
B. (34)
(\left\(\frac{1}{5}\right\)^{-2}=25) और (\left\(\frac{1}{3}\right\)^{-2}=9) है। इसलिए योग (34) है। / (\left\(\frac{1}{5}\right\)^{-2}=25) and (\left\(\frac{1}{3}\right\)^{-2}=9). Therefore the sum is (34).
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What is the value of \(9^{-1}+3^{-2}\)?
B. \(\frac{2}{9}\)
\(9^{-1}=\frac{1}{9}\) और \(3^{-2}=\frac{1}{9}\) है। इसलिए योग \(\frac{2}{9}\) है। / \(9^{-1}=\frac{1}{9}\) and \(3^{-2}=\frac{1}{9}\). So the sum is \(\frac{2}{9}\).
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What is the value of (\left\(\frac{1}{4}\right\)^{-2}+\left\(\frac{1}{5}\right\)^{-2})?
B. (41)
(\left\(\frac{1}{4}\right\)^{-2}=16) और (\left\(\frac{1}{5}\right\)^{-2}=25) है। योग (41) है। / (\left\(\frac{1}{4}\right\)^{-2}=16) and (\left\(\frac{1}{5}\right\)^{-2}=25). The sum is (41).
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What is the simplified form of \(5^4\cdot5^{-2}\cdot5^3\)?
A. \(5^5\)
समान आधार में घातें (4-2+3=5) जुड़ती हैं। इसलिए सरल रूप \(5^5\) है। / For the same base, exponents add as (4-2+3=5). Hence the simplified form is \(5^5\).
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What is the value of \(4^{-1}+2^{-2}\)?
A. \(\frac{1}{2}\)
\(4^{-1}=\frac{1}{4}\) और \(2^{-2}=\frac{1}{4}\) है। इसलिए योग \(\frac{1}{2}\) है। / \(4^{-1}=\frac{1}{4}\) and \(2^{-2}=\frac{1}{4}\). So the sum is \(\frac{1}{2}\).
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What is the value of (\left\(\frac{1}{3}\right\)^{-2}+\left\(\frac{1}{2}\right\)^{-2})?
B. (13)
(\left\(\frac{1}{3}\right\)^{-2}=9) और (\left\(\frac{1}{2}\right\)^{-2}=4) है। योग (13) है। / (\left\(\frac{1}{3}\right\)^{-2}=9) and (\left\(\frac{1}{2}\right\)^{-2}=4). The sum is (13).
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What is the simplified form of \(2^3\cdot2^{-5}\cdot2^4\)?
A. \(2^2\)
समान आधार में घातें (3-5+4=2) जुड़ती हैं। इसलिए सरल रूप \(2^2\) है। / For the same base, exponents add as (3-5+4=2). Hence the simplified form is \(2^2\).
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