RBSE Solutions for Class 7 Maths Chapter 5 Powers and Exponents Ex 5.1 is part of RBSE Solutions for Class 7 Maths. Here we have given Rajasthan Board RBSE Class 7 Maths Chapter 5 Powers and Exponents Exercise 5.1.

Board |
RBSE |

Textbook |
SIERT, Rajasthan |

Class |
Class 7 |

Subject |
Maths |

Chapter |
Chapter 5 |

Chapter Name |
Powers and Exponents |

Exercise |
Ex 5.1 |

Number of Questions |
6 |

Category |
RBSE Solutions |

## Rajasthan Board RBSE Class 7 Maths Chapter 5 Powers and Exponents Ex 5.1

Question 1

Express the following in (RBSESolutions.com) terms of exponents

(i) 7 x 7 x 7 x 7 x 7

(it) 3 x 3 x 3 x 7 x 7

(iii) a x a x a x b x b

(iv) 5 x 5 x t x t x t

Solution:

(i) 7 x 7 x 7 x 7 x 7 = 7^{5}

(ii) 3 x 3 x 3 x 7 x 7 = (3 x 3 x 3) x (7 x 7) = 3^{3} x 7^{2}

(iii) a x a x a x b x b = (a x a x a) x (b x b) = a^{3} x b^{2}

(iv) 5 x 5 x t x t x t = (5 x 5) x (t x t x t) = 5^{2} x t^{3}

Question 2

Express each of the following (RBSESolutions.com) number in the form of exponents :

(i) 32

(ii) 81

(iii) 343

(iv) 125

Solution:

(i) 32 = 2 x 2 x 2 x 2 x 2 = 2^{5}

(ii) 81 = 3 x 3 x 3 x 3 = 3^{4}

(iii) 343 =7 x 7 x 7 = 7^{3}

(iv) 125 = 5 x 5 x 5 = 5^{3}

Question 3

Identify the greater (RBSESolutions.com) number in the following:

(i) 2^{5} or 5^{2}

(ii) 3^{5} or 5^{3}

(iii) 3^{10} or 10^{3}

(iv) 7^{3} or 3^{7}

Solution:

(i) 2^{2} or 5^{2}

2^{5} = 2 x 2 x 2 x 2 x 2 = 32

and 5^{2} = 5 x 5 = 25

Clearly 32 > 25 ⇒ 2^{5} > 5^{2}

अतः 2^{5} greater (RBSESolutions.com) number

(ii) 3^{5} or 5^{3}

3^{5} = 3 x 3 x 3 x 3 x 3 = 243

and 5^{3} = 5 x 5 x 5 = 125

Clearly 243 > 125 or 3^{5} > 5^{3}

∴ 3^{5} greater number

(iii) 3^{10} or 10^{3}

3^{10} = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

= 243 x 243 = 59049

and 10^{3} = 10 x 10 x 10 = 1000

Clearly 59049 >1000 or 3^{10} > 10^{3}

∴ 3^{10} greater (RBSESolutions.com) number

(iv) 7^{3} or 3^{7}

∴ 7^{3} = 7 x 7 x 7 = 343

and 3^{7} =3 x 3 x 3 x 3 x 3 x 3 x 3 = 2187

Clearly 2187 > 343 or 3^{7} > 7^{3}

∴ 3^{7} greater number.

Question 4

Express the following (RBSESolutions.com) numbers in terms factors :

(i) 324

(ii) 625

(iii) 1080

(iv) 1800

Solution:

(i) On factorizing by division method

∴ 324 = 2 x 2 x 3 x 3 x 3 x 3

= 2^{2} x 3^{4}

(ii) On factorizing by (RBSESolutions.com) division method

∴ 625 = 5 x 5 x 5 x 5

= 5^{4}

(iii) On factorizing by division method

∴1080 = 2 x 2 x 2 x 3 x 3 x 3 x 5

= 2^{3} x 3^{3} x 5

(iv) On factorizing by (RBSESolutions.com) division method

∴ 1800 = 2 x 2 x 2 x 3 x 3 x 3 x 5

= 2^{3} x 3^{2} > 5^{2}

Question 5

Simplify the (RBSESolutions.com) following :

(i) 2 x 3^{4}

(ii) 7^{3} x 5

(iii) 5^{3} x 2^{2}

(iv) 3^{2} x 10^{2}

(v) 0 x 10^{4}

Solution:

(i) 2 x 3^{4} = 2 x 3 x 3 x 3 x 3 = 162

(ii) 7^{3} x 5 = 7 x 7 x 7 x 5 = 1715

(iii) 5^{3} x 2^{2} = 5 x 5 x 5 x 2 x 2 = 500

(iv) 3^{2} x 10^{3} = 3 x 3 x 10 x 10 x 10 = 9000

(v) 0 x 10^{4} = 0 x 10 x 10 x 10 x 10 = 0

Question 6

Find the (RBSESolutions.com) values of:

(i) (-1)^{3}

(ii) (- 5)^{4}

(iii) (-4)^{2} x (-2)^{3}

Solution:

(i) (-1)^{3} = (-1) x (-1) x (-1) = -1

(ii) (-5)^{4} = (-5) x (-5) x (-5) x (-5) = 625

(iii) (-4)^{2} x (-2)^{3} = (-4) x (-4) x (-2) x (-2) x (-2) = – 128

We hope the RBSE Solutions for Class 7 Maths Chapter 5 Powers and Exponents Ex 5.1 will help you. If you have any query regarding Rajasthan Board RBSE Class 7 Maths Chapter 5 Powers and Exponents Exercise 5.1, drop a comment below and we will get back to you at the earliest.

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