Leadership

Mathematics

Test your understanding of this lesson Exponents or power or index | Part -2:-

1)
\((\frac{3}{5})^3\times(\frac{-5}{3})^2 =\)
  • -3/5
  • 3/5
  • 243/3125
  • -243/3125
2)
\((\frac{2}{5})^5\div(\frac{2}{5})^3=\)
  • \(\frac{4}{5}\)
  • -\(\frac{4}{25}\)
  • \(\frac{4}{25}\)
  • \(\frac{2}{25}\)
3)
If \(\bigg(\frac{-5}{3}\bigg)^5\times\bigg(\frac{-5}{3}\bigg)^3 =\bigg(\frac{3}{5}\bigg)^{-2p}\),then the value of p is
  • -2
  • 2
  • -5
  • 4
4)
If \(\frac{p}{q}=\Big(\frac{3}{2}\Big)^{2}\Big(\frac{2}{3}\Big)^{-4}\) then the value of \(\Big(\frac{p}{q}\Big)^{-2}\)is
  • (2/3)^6
  • (3/2)^6
  • (2/3)^12
  • -(2/3)^12
5)
If \(\frac{3^{(2x+1)}}{9}=27\),then the value of x is
  • 3
  • 6
  • 2
  • 5
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