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.

Learning Videos for 7th Grade Math - Exponents and Powers

Exponents and Powers Sample Questions for Class 7

Question 1

-81 -: -9 =
A. 9
B. -9
C. -90
D. 62

Question 2

Multiply. \frac{8}{7}\xx \frac{1}{18}
A. \frac{4}{63}
B. \frac{25}{126}
C. \frac{8}{126}
D. \frac{55}{126}

Question 3

Which of the following is the most correct statement about probability?
A. Theoretical probability is more accurate.
B. Theoretical probability involves no actual experimentation.
C. Experimental probability is more accurate.
D. Experimental probability involves no actual experimentation.

Question 4

Multiply: 2 1/3 xx 3 1/2 .
A. 5 2/5
B. 5 1/5
C. 5 1/6
D. 8 1/6

Question 5

Which one shows 1.9 xx 10^-4 in standard form?
A. 0.0019
B. 0.00019
C. 0.019