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Question
\[\left\{ \left( \frac{1}{3} \right)^2 \right\}^4\] is equal to
Options
\[\left( \frac{1}{3} \right)^6\]
- \[\left( \frac{1}{3} \right)^8\]
- \[\left( \frac{1}{3} \right)^{24}\]
- \[\left( \frac{1}{3} \right)^{16}\]
MCQ
Sum
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Solution
\[\left( \frac{1}{3} \right)^8\]
We have:
\[\left\{ \left( \frac{1}{3} \right)^2 \right\}^4\] `=(1/3)^(2xx4)` → ( (am)n = amxn)
`=(1/3)^8`
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RELATED QUESTIONS
Evaluate.
(−4)−2
Simplify:
\[\left( 2^2 + 3^2 - 4^2 \right) \div \left( \frac{3}{2} \right)^2\]
Simplify:
\[\left\{ 4^{- 1} \times 3^{- 1} \right\}^2\]
Express the following rational numbers with a positive exponent:
\[\left\{ \left( \frac{4}{3} \right)^{- 3} \right\}^{- 4}\]
Express the following rational numbers with a positive exponent:
\[\left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 2}\]
Simplify:
\[\left\{ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right\} \div \left( \frac{1}{4} \right)^{- 3}\]
Simplify:
\[\left\{ \left( \frac{1}{2} \right)^{- 1} \times ( - 4 )^{- 1} \right\}^{- 1}\]
\[\left( \frac{- 3}{2} \right)^{- 1}\] is equal to
The multiplicative inverse of (– 4)–2 is (4)–2.
Simplify and express the result in power notation with positive exponent.
`(−3)^4 × (5/3)^4`
