The study material in this segment is provided by NCERT Solutions for Class 7 Maths Chapter 13, Exponents, and Powers. When you go through these Solutions, you will have a better understanding of the principles and will find it easier to solve the sums. Exponents of natural numbers and exponent rules will be learned through spotting patterns in order to arrive at generalization. On INFINITY learn, every NCERT Solution is offered to make the study simple and enjoyable. If you have access to NCERT Solutions for Class 7 Science, Maths solutions, and solutions for other topics, subjects like Science, Maths, and English will become easier to study.
13. Exponents and powers
NCERT Solutions for Class 7 Maths Chapter 13
Facts
- (-1) odd number = -1and (-1) even number = 1
- Let ‘a’ and ‘b’ be non-zero integers and m, n are whole numbers, then
- am x an = am+n
- am ÷ an = am-n; m > n
- (am)n = amn
- am x bm = (ab)m
- am ÷ bm = (a/b)m
- a0 = 1
- The standard form refers to any number stated as a decimal number between 1.0 and 10.0, including 1.0 multiplied by a power of ten.
- Long numbers are written as short notations using exponents to make them easier to read, interpret, and compare.
Exponents
Let’s say we have a number x, and we want to multiply it by itself.
x∗x=x2x∗x=x2
x∗x∗x=x3x∗x∗x=x3
x∗x∗x∗x=x4x∗x∗x∗x=x4
x∗x∗x∗x∗x=x5x∗x∗x∗x∗x=x5
The number
XnXn
is written as ‘X’ multiplied by ‘n’ or simply ‘X’ multiplied by the nth power of ‘X’.
The base is X, and the exponent is n in this case.
Exponentiation Laws
Let’s take a look at each of the exponent laws one by one.
- Multiplying Powers With the Same Base
am×an=a(m+n)am×an=a(m+n)
where ‘a’ represents any non-zero integer.
The numerals ‘m’ and ‘n’ are both whole numbers.
- Dividing Powers that Share a Base
am÷an=a(m−n); m>nam÷an=a(m−n); m>n
where ‘a’ is any non-zero integer;
The numerals ‘m’ and ‘n’ are both whole numbers and
m>nm>n
III. Taking Power of a Power
(am)n=amn(am)n=amn
Where ‘a’ is any non-zero integer,
The numerals ‘m’ and ‘n’ are both whole numbers.
- Power Multiplication with the Same Exponents
am×bm=(ab)mam×bm=(ab)m
where ‘a’ represents any non-zero integer.
The numerals ‘m’ and ‘n’ are both whole numbers.
- Power Division with the Same Exponents
am÷bm=(a/b)mam÷bm=(a/b)m
where ‘a’ represents any non-zero integer.
The numerals ‘m’ and ‘n’ are both whole numbers.
- Numbers with zero as an Exponent
a0=1,a0=1,
where ‘a’ is non-zero integers.
Or, If any number (except 0) when raised to the power ( or exponent) 0 gives 1.
FAQ:
Where can I get NCERT Solutions for Chapter 13 of Class 7 Maths?
INFINITY learns website has NCERT Solutions for Class 7 Maths Chapter 13 that may be downloaded. It is available in PDF format for free. To download, go to the INFINITY learns NCERT Solutions website, select Class 7, choose Maths as a topic and then click on Chapter 13:Exponents, and Powers.
What are some of the benefits of studying NCERT Solutions for Class 7 Maths Chapter 13?
Applications of studying NCERT Solutions for Class 7 Maths Chapter 13 are as follows:
- How are Expressions Formed
- An Expression’s Terms
- Terms that you like and don’t like
- Monomials, Binomials, Trinomials, and Polynomials.
- Algebraic Expressions Addition and Subtraction
- Determining an Expression’s Worth
- Formulas and Rules for Using Algebraic Expressions
Students will be able to answer all problems based on algebraic expressions as well as write class assessments and board exams if they understand these topics.
Is Chapter 13 of NCERT Solutions for Class 7 Maths sufficient for board exams?
Yes, you must properly learn all of the questions and practice them for a longer period of time. When you’ve finished with all of the questions, you can go on to the additional NCERT reference books and questions.