Evaluate -1520-1515-155x

( 15)^20÷ ( 15)^15=( 15)^5x ∵ on L.H.S, bases are same amp; theoperation is division, so powers aresubtracted, i.e ( 15)^20 15= ( 15)^5n ...

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Standard XII

Mathematics

Harmonic Mean

Evaluate -1...

Question

Evaluate
$(\frac{- 1}{5})^{20} \div (\frac{- 1}{5})^{15} = (\frac{- 1}{5})^{5 x}$

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Solution

$(\frac{- 1}{5})^{20} \div (\frac{- 1}{5})^{15} = (\frac{- 1}{5})^{5 x}$
$∵$ on L.H.S, bases are same & the
operation is division, so powers are
subtracted, i.e
$(\frac{- 1}{5})^{20 - 15} = (\frac{- 1}{5})^{5 n}$
$(\frac{- 1}{5})^{5} = (\frac{- 1}{5})^{5 n}$
$∵$ bases are same, so powers are
equated,
$5 = 5 x$
$x = 1$ Answer.

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Evaluate (−15)20÷(−15)15=(−15)5x

(−15)20÷(−15)15=(−15)5x∵ on L.H.S, bases are same & theoperation is division, so powers aresubtracted, i.e(−15)20−15=(−15)5n(−15)5=(−15)5n∵ bases are same, so powers areequated,5=5xx=1 Answer.

Evaluate
$(\frac{- 1}{5})^{20} \div (\frac{- 1}{5})^{15} = (\frac{- 1}{5})^{5 x}$