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Discussion about Dividing Powers with the Same Exponents, Numbers with exponent zero, Miscellaneous questions using the laws of exponents, Note: In most of the questions that are taken in Chapter 13, the base of a power was taken an integer. But all the results of this chapter apply equally well to a base which is a rational number.
Standard Form: Any number can be expressed as a decimal number between 1. Such a form of a number is called its standard form. The questions based on, conversing of number into standard form or Scientific form to normal form and vice versa are given in the last Ncert Solutions Class 10th Chapter 4 Maths exercise, are very important for the further classes. Most of the larger numbers are normally written in the standard form.
Your every suggestion is valuable for us. Hindi Medium solutions are just a part of your suggestions. Exponents are used to express large numbers in shorter form to make them easy to read, understand, compare and operate upon. In all these examples, 10 3 , 10 4 , 2 5 , 5 4 are the exponential forms of the same values.
Since you have understood how to Ncert Math Solution Class 11 Chapter 5.1 write exponents, you can now write the large numbers given above into short notations. This large number can be written as x 10 8 m where is a natural number, 10 is the base, and 8 is the exponent. Here, we can write the large number as x 10 22 kg where is a natural number, 10 is the base, and 22 is the exponent.
This large number can be written as x 10 9 m where is a natural number, 10 is the base, and 9 is the exponent. Similarly, we can write the large number as x 10 23 kg where is a natural number, 10 is the base, and 23 is the exponent. Example 1. Express as a power of 2. Example 2. Express as the product of the power of prime numbers.
Now you can solve the exercises in Let us now understand the laws of exponents one by one. Multiplying Powers with the Same Base. Dividing Powers with the Same Base. Taking Power of a Power.
Multiplying Powers with Same Exponents. Dividing the Powers with the Same Exponents.
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