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प्रश्न
Find x, if
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उत्तर
We have:
\[\left( \frac{2}{5} \right)^{- 3} \times \left( \frac{2}{5} \right)^{15} = \left( \frac{2}{5} \right)^{2 + 3x}\]
\[\left( \frac{2}{5} \right)^{12} = \left( \frac{2}{5} \right)^{2 + 3x}\]
12 = 2 + 3x
10 = 3x
`10/3=x`
`x=10/3`
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संबंधित प्रश्न
Simplify:
Write the following in exponential form:
\[\left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2}\]
Evaluate:
\[\left( \frac{- 1}{2} \right)^{- 1}\]
Express the following as a rational number in the form \[\frac{p}{q}:\]
6−1
Express the following as a rational number in the form \[\frac{p}{q}:\]
Express the following rational numbers with a positive exponent:
Express the following rational numbers with a positive exponent:
If \[x = \left( \frac{4}{5} \right)^{- 2} \div \left( \frac{1}{4} \right)^2\], find the value of x−1.
Simplify and express the result in power notation with positive exponent.
(3−7 ÷ 3−10) × 3−5
