List of top Mathematics Questions on Laws of Exponents asked in CBSE Class VIII

Evaluate
  1. \(\frac{ (8^{−1}× 5^3)}{2^{−4}} \)
  2. \((5^{−1}× 2^{−1})×6^{−1}\)
Simplify.
  1.  \(\frac{(25×t^{−4})}{(5^{−3}×10×t^{−8})} (t ≠ 0)\)
  2. \(\frac{ (3^{−5}×10^{−5}×125)}{(5^{−7}×6^{−5})}\)
Evaluate
  1.  {\((\frac{1}{3})^{−1} − (\frac{1}{4})^{−1}\)}−1 
  2.  \((\frac{5}{8})^{−7}× (\frac{8}{5})^{−4}\)
Find the value of m for which (5m ÷ 5−3) = 55
Find the value of
  1. (30 × 4−1) × 22 
  2.  (2−1 × 4−1) ÷ 2−2
  3.  (\(\frac{1}{2}\))−2 + (\(\frac{1}{3}\))−2 + (\(\frac{1}{4}\))−2
  4.  (3−1 +4−1 + 5−1)0
  5.  {(\(\frac{−2}{3}\))−2}2
Simplify and express the result in power notation with positive exponent.
  1. (−4) 5 ÷ (−4) 8 
  2. \(\left(\frac{1 }{ 2^3}\right)\) 2 
  3. (−3) 4 × (\(\frac{5}{3}\)) 4
  4. (3 -7 ÷ 3 -10) × 3 -5 
  5. 2 -3 × (−7) -3
Evaluate: 
(i) 3-2 
(ii) (-4)-2 
(iii) \((\frac{1}{2})^{-5}\)