**ML Aggarwal CBSE Solutions Class 7 Math 4th Chapter Exponents and Powers Exercise 4.2**

**(1) Using laws of exponents, simplify and write the following in the exponential form:**

**(i) 2 ^{7} x 2^{4}**

**(ii) p ^{5} x p^{3}**

**(iii) (-7) ^{5} x (-7)^{11}**

**(iv) (3/5) ^{6} (3/5)^{2}**

**(v) (-6) ^{7} **

**÷ (-6)**

^{3}**(vi) 7 ^{x} x 7^{3}**

**(2) Simplify and write the following in the exponential form:**

**(i) 5 ^{3} x 5^{7} x 5^{12}**

**(ii) a ^{5} x a^{3} x a^{7}**

**(iii) (7 ^{12} x 7^{3}) **

**÷ 7**

^{4}**(3) Simplify and write the following in the exponential form:**

**(i) (2 ^{2})^{100}**

**(ii) ((-7) ^{6})^{5}**

**(iii) (3 ^{2})^{5} x (3^{4})^{7}**

**Solution: **

**(4) Simplify and write in the exponential form:**

**(i) a ^{3} x a^{5} / (a^{3})^{2}**

**(ii) (2 ^{3})^{4} **

**÷ 2**

^{5}**(iii) [(6 ^{2})^{3} ÷ 6^{3}] ÷ 6^{5}**

**(5) Simplify and write the exponential form:**

**(i) 5 ^{4} x 8^{4}**

**(ii) (-3) ^{6} x (-5)^{6}**

**(iii) (3/10) ^{5} x (2/15)^{5}**

**Solution: **

**(12) Express each of the following as a product of prime factors in the exponential form:**

**(i) 108 x 192**

**(ii) 729 x 64**

**(iv) 384 x 147**

**Solution: **

**(13) Simplify and write the following in exponential form**

**(i) 3 ^{3} x 2^{2} + 2^{2} x 5^{0}**

**(ii) 9 ^{2} + 11^{2} – 2^{2} x 3 x 17^{0}**

**(14) (i) By what number should we multiply 3 ^{4} so that the product is 3^{7}?**

**(ii) By what number should we multiply (-6) ^{-1} so that the product is 10^{-1}**

**Solution: **

**(15) Solution:**

simplify each of the following express the answer in exponential form.

(4^(2)×16)^(4)

solve this question please

16 x 65,536

= 10,48,576