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प्रश्न
विकल्प
\[\left( \frac{1}{3} \right)^6\]
- \[\left( \frac{1}{3} \right)^8\]
- \[\left( \frac{1}{3} \right)^{24}\]
- \[\left( \frac{1}{3} \right)^{16}\]
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उत्तर
\[\left( \frac{1}{3} \right)^8\]
We have:
\[\left\{ \left( \frac{1}{3} \right)^2 \right\}^4\] `=(1/3)^(2xx4)` → ( (am)n = amxn)
`=(1/3)^8`
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संबंधित प्रश्न
Evaluate:
\[\left( \frac{1}{3} \right)^{- 4}\]
Express the following rational numbers with a negative exponent:
Express the following rational numbers with a positive exponent:
By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( \frac{- 4}{7} \right)^{- 1} ?\]
Find x, if \[\left( \frac{1}{4} \right)^{- 4} \times \left( \frac{1}{4} \right)^{- 8} = \left( \frac{1}{4} \right)^{- 4x}\]
Find x, if
\[\left( \frac{- 1}{2} \right)^{- 19} \times \left( \frac{- 1}{2} \right)^8 = \left( \frac{- 1}{2} \right)^{- 2x + 1}\]
If \[x = \left( \frac{4}{5} \right)^{- 2} \div \left( \frac{1}{4} \right)^2\], find the value of x−1.
Which of the following numbers is not equal to \[\frac{- 8}{27}?\]
(a) \[\left( \frac{2}{3} \right)^{- 3}\]
(b) \[- \left( \frac{2}{3} \right)^3\]
(c) \[\left( - \frac{2}{3} \right)^3\]
(d) \[\left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right)\]
The multiplicative inverse of `(3/2)^2` is not equal to `(2/3)^-2`.
Express 3–5 × 3–4 as a power of 3 with positive exponent.
