Learn Class 7 Math - Exponents and Powers

The term exponents refer to the expanded form of a number, such as 2 x 2 x 2 x 2. At the same time, power refers to a short version of that expanded form, such as 2^4. This whole expression,i.e., 2^4, is called the power.

Rules of Exponents

The rule of exponents differs from each other. These set of rules are discussed here below:

  • a^0 = 1 :

    This rule shows that if the power of the integer is 0, then the result will always come to 1.

  • (a^m)^n = a^mn :

    This set of rules says that if n is the power of a^m and then m is the power of a, the result will be that the product of mn is the power of a.

  • (a^m) x (b^m) = (ab)^m :

    A rule says that if m is the power of both a & b in multiplication, then it is equal to the product of the combination of ab and whose combined power is m.

  • a^m / b^m = (a/b)^m :

    The rule says that if m is the power of both a & b differently, it will result in the combined power of both a & b,i.e.,(a/b)^m.

Exponents and Powers Sample Questions for Class 7

Question 1

Solve : (-2)² + (-2)⁵ + (-2)³
A. (-1) × 6²
B. (-6)²
C. -2²× 3²
D. 2×-3⁴

Question 2

Statement 1 : (5⁰ × (-1)⁴) ⁷ = -1 Statement 2 : (4⁰ - 6⁰) × (- 2)⁵ = -32 Which statement is correct?
A. Statement 2
B. Statement 1
C. Both are correct
D. Both are wrong

Question 3

Statement 1 : (3/4)⁴= (4/3)⁴ Statement 2 : (-12)³= - 1728 Which statement is correct?
A. Statement 1
B. Statement 2
C. Both are correct
D. Both are wrong

Question 4

Simplify : (6 + (3/4)²)²
A. 9801/256
B. 11025/256
C. 9810/256
D. 11250/256

Question 5

121/289 = (x/y)². What is value of x and y?
A. x = 11 , y = 13
B. x = 19, y = 13
C. x = 11, y = 17
D. x = 13, Y = 17