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.
    Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
    Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

      • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
      • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
      • Assertion (A) is true, but Reason (R) is false.
      • Assertion (A) is false, but Reason (R) is true.

    • 2.
      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.


        • 3.
          Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$


            • 4.
              \(ABCD\) is a parallelogram such that \(AF = 7 \text{ cm}\), \(FB = 3 \text{ cm}\) and \(EF = 4 \text{ cm}\), length \(FD\) equals

                • \(\frac{21}{4} \text{ cm}\)
                • \(\frac{28}{3} \text{ cm}\)
                • \(\frac{12}{7} \text{ cm}\)
                • \(5.5 \text{ cm}\)

              • 5.
                In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).


                  • 6.
                    If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

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

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