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

What will be the sign of product of (-1)⁹ and (-12) ³?
A. Negative
B. Positive
C. Cannot Say
D. None of the above

Question 2

Solve : (3⁵× 10²×25)÷(5⁶×6⁵)
A. 1/200
B. 200
C. 125
D. 1/125

Question 3

Find the product of cube of (2/5) and square of (3/4).
A. 18/500
B. 36/1000
C. 72/2000
D. 9/250

Question 4

3² × 5² × 75 = (a)⁴ × (b)³
A. a = 3 , b = 5
B. a = 5 , b = 3
C. Both are incorrect
D. None of the above

Question 5

What will be the product of (-11)² and (-2)⁵ ?
A. 3857
B. -3875
C. -3857
D. 3875