NCERT Solutions for class 7 Mathematics Chapter 13 : Exponents and Powers

NCERT Solutions for class 7 Mathematics Chapter 13 Exponents and Powers are provided in the article below. Exponent is generally defined as a positive or negative number that represents the power to which the base number is to be raised. In mathematics, the term Power refers to the repeated multiplication of the same integer. The power of a number specifies how many times that number should be multiplied. 

  1. Difference between power and exponent
  2. Powers and Negative Exponent
  3. Exponent Powers
  4. Uses of Exponents to Express small numbers in Standard Form

Download: NCERT Solutions for Class 7 Mathematics Chapter 13 pdf


NCERT Solutions for Class 7 Mathematics Chapter 13 

NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers is given below.

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Class 7 Maths Chapter 13 Exponents & Powers – Important Topics

Power: Power denotes the amount of time a number has to be multiplied by itself. 

Exponent: Exponent is generally defined as a positive or negative number that represents the power to which the base number is to be raised.

Some of the rules of exponents include:

  • x0 = 1
  • (xm)n = xmn
  • xm × ym = (xy)m
  • xm ÷ ym = (x/y)m
  • xm × xn = xm+n
  • xm ÷ xn = xm-n

NCERT Solutions for Class 7 Maths Chapter 13 Exercises

NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Exercises are given below.

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Class 7 Maths Guides:

CBSE X Related Questions

  • 1.
    Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.


      • 2.
        If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

          • $x^2 + 5x - 4$
          • $(x + 3) (-x + 8)$
          • $a(x^2 + 5x - 24)$
          • $x^2 - 24$

        • 3.
          In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.


            • 4.
              A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.


                • 5.
                  PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If OP = 13 cm, then find the length AB and PA.


                    • 6.
                      The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

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