Contents

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 8 |

Subject |
Maths |

Chapter |
Chapter 12 |

Chapter Name |
Exponents and Powers |

Exercise |
Ex 12.1, Ex 12.2 |

Number of Questions Solved |
11 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers

### Chapter 12 Exponents and Powers Exercise 12.1

**Question 1.**

Evaluate :

**(i)** 3^{-2}

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

**(iii)**

**Solution:**

**Question 2.**

Simplify and express the result in power notation with positive exponent:

**(i)** (-4)^{-5} ÷ (-4)^{-5}

**(ii)**

**(iii)** (-3)^{-4} x

**(iv)** (3^{-7} ÷ 3^{-10}) x 3^{-5}

**Solution:**

**Question 3.**

Find the value of :

**(i)** (3^{0} + 4^{-1}) x 2^{2}

**(ii)** (2^{-1} x 4^{-1}) ÷ 2^{-2}

**(iii)**

**(iv)** (3^{-1} 4^{-1} + 5^{-1})^{0}

**(v)**

**Solution:**

**Question 4.**

Evaluate

**(i)**

**(ii)** (5^{-1} x 2^{-1}) x 6^{-1}

**Solution:**

**Question 5.**

Find the value of m for which 5^{m} + 5^{-3} = 5^{5}.

**Solution:**

**Question 6.**

Evaluate

**Solution:**

**Question 7.**

Simplify :

**Solution:**

### Chapter 12 Exponents and Powers Exercise 12.2

**Question 1.**

Express the following numbers in standard form

**(i)** 0.0000000000085

**(ii)** 0.00000000000942

**(iii)** 6020000000000000

**(iv)** 0.00000000837

**(v)** 31860000000

**Solution:**

**Question 2.**

Express the following

**(i)** 3.02 x 10^{-6}

**(ii)** 45 x 10^{4}

**(iii)** 3 x 10^{-8}

**(iv)** 1.0001 x 10^{9}

**(v)** 5.8 x 10^{12}

**(vi)** 3.61492 x 10^{6}

**Solution:**

**Question 3.**

Express the number appearing in the following statements in standard form :

**(i)** 1 micron is equal to m.

**(ii)** Charge of an electron is 0.00000000000000000016 coulomb.

**(iii)** Size of a bacteria is 0.0000005 m.

**(iv)** Size of a plant cell is 0.00001275 m.

**(v)** Thickness of a thick paper is 0.07 mm.

**Solution:**

**Question 4.**

In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack?

**Solution:**

Thickness of one book =20 mm

∴ Thickness of 5 books = 5 x 20 mm = 100 mm

Thickness of 1 sheet of paper =0.016 mm

Thickness of 5 sheets of paper = 5 x 0.016 mm = 0.08 mm

Total thickness = 100 mm + 0.08 mm

= 100.08 mm = 1.0008 x 10^{2} mm

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