Simplify the following using laws of exponents. - 3 3 × - 3 10 × - 3 7

Given, - 3 3 × - 3 10 × - 3 7 Here, the bases are same. So, when multiplying like bases, keep the base the same and add the exponents. So, using the law of exponent, a m × a n = a m + n Here, - 3 3 × - 3 10 × - 3 7 = - 3 3 + 10 + 7 = - 3 20 .

Simplify the following using laws of exponents. 9 7 9 15

Given, 9 7 9 15 Here, the bases are same and are in division. Using the law of exponent, a m a n = a m - n Here, 9 7 9 15 = 9 7 - 15 = 9 - 8 Here, exponent is negative, using the law of exponent, a - m = 1 a m So, 9 - 8 = 1 9 8

Simplify the following using laws of exponents. a x × a y × a z

Given, a x × a y × a z Here, the bases are same. So, when multiplying like bases, keep the base the same and add the exponents. So, using the law of exponent, a m × a n = a m + n So, a x × a y × a z = a x + y + z .

E M B I B E

Mathematics Class 7>Chapter 11 - Powers and Exponents>Exercise - 2

Telangana Board Solutions for Chapter: Powers and Exponents, Exercise 12: Exercise - 2

Author:Telangana Board

Telangana Board Mathematics Solutions for Exercise - Telangana Board Solutions for Chapter: Powers and Exponents, Exercise 12: Exercise - 2

Attempt the practice questions on Chapter 11: Powers and Exponents, Exercise 12: Exercise - 2 with hints and solutions to strengthen your understanding. Mathematics Class 7 solutions are prepared by Experienced Embibe Experts.