## ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 2 Exponents and Powers Ex 2.1

Question 1.

Evaluate:

Solution:

Question 2.

Simplify:

Solution:

Question 3.

Find the multiplicative inverse of the following:

Solution:

Question 4.

(i) Express 16^{-2} as a power with base 2.

(ii) Express 125^{-4} as a power with base 5.

Solution:

Question 5.

Write the following numbers in expanded form using exponents:

(i) 2789.453

(ii) 3007.805

Solution:

(i) 2789.453 = 2 × 10^{3} + 7 × 10^{2} + 8 × 10^{1} + 9 × 10^{0}

+ 4 × 10^{-1} + 5 × 10^{-2} + 3 × 10^{-3}

(ii) 3007.805 = 3 × 10^{3} + 7 × 10^{0} + 8 × 10^{-1} + 5 × 10^{-3}

Question 6.

Simplify and write in exponential form with positive exponent:

Solution:

Question 7.

Simplify and write the following in exponential form:

Solution:

Question 8.

Simplify and write in exponential form with negative exponent:

Solution:

Question 9.

Simplify:

Solution:

Question 10.

By what number should \(\left( \frac { 3 }{ -2 } \right) ^{ -3 }\) be divided to get \(\left( \frac { 2 }{ 3 } \right) ^{ 2 }\) ?

Solution:

Question 11.

Find the value of m for which 9^{m} ÷ 3^{-2} = 9^{4}.

Solution:

9^{m} ÷ 3^{-2} = 9^{4}

⇒ (3^{2})^{m} ÷ 3^{-2} = (3^{2})^{4}

⇒ 3^{2m} ÷ 3^{-2} = 3^{8}

⇒ 3^{2m+2} = 3^{8}

Comparing, we get

2m + 2 = 8

⇒ 2m = 8 – 2 = 6

⇒ m = \(\frac { 6 }{ 2 }\) = 3

Question 12.

Solution:

Question 13.

Solution:

Question 14.

Solution: