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

If a/2 = b/3 then find value of ((a + b)/b) ².
A. 16/9
B. 9/4
C. 4/9
D. 25/9

Question 3

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

Question 4

Raghu was asked to multiply 4 by 2 instead he solved 2⁴. What is the difference between original answer and new answer?
A. 4
B. 8
C. 2
D. 0

Question 5

Write the numeral for following: 3 ×10³ + 2 × 10⁵ + 4 ×10⁰ + 1 × 10²
A. 32041
B. 2314
C. 20314
D. 3241