List of top Mathematics Questions on Exponents and Powers

Express each of the following as a product of prime factors only in exponential form:
(i) 108 × 192 (ii) 270 (iii) 729 × 64 (iv) 768

Using laws of exponents, simplify and write the answer in exponential form: 
(i) 32 × 34 × 38 (ii) 615 ÷ 610 (iii) a3 × a2 (iv) 7x×72 (v) (52) ÷ 53 (vi) 25 × 55 (vii) a4 × b4 (viii) (34)3(ix) (220 ÷ 215)×23 (x) 8t ÷ 82

Simplify:
(i) \(\frac{(2^5)^2×7^3}{8^3×7}\) (ii) \(\frac{2^5×5^2×t^8}{10^3×t^4}\) (iii) \(\frac{3^5×10^5×25}{5^7×6^5}\)
Say true or false and justify your answer:
Simplify and express each of the following in exponential form:
(i) \(\frac{2^3\times 3^4\times4}{3\times 3^2}\)
(ii) ((52)3×54)÷57
(iii) 254÷53
(iv) \(\frac{3\times7^2\times 11^8}{21\times11^3}\)
(v) \(\frac{3^7\times3^4}{3^3}\)
(vi) 20+30+40
(vii) 20×30×40
(viii) (30+20)×50
(ix) \(\frac{2^8\times a^5}{4^3\times a^3}\)
(x) (\(\frac{a^5}{a^3}\times a^8\))
(xi) \(\frac{4^5\times a^8b^3}{4^5\times a^5b^2}\)
(xii) (23×2)2