Grade 8 Exponents Worksheet (For CBSE, ICSE, IAS, NET, NRA 2022)

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(1) Using the Laws of Exponents, Simplify the Expression Write the Answer in Exponential Form

(a)

(b)

(c)

(2) Using the Laws of Exponents, Simplify the Expression Write the Answer in Exponential Form

(a)

(b)

(c)

(3) Find the Value

(a)

(b)

(c)

(4) Find the Value

(a)

(b)

(c)

(5) Simplify and Write the Answer in Exponential Form

(a)

(b)

(c)

(6) Simplify and Write the Answer in Exponential Form

(a)

(7) Tick (√) Every Correct Option

(a) is equal to,

(b) is equal to …

(8) Tick (√) Every Correct Option

(a) The reciprocal of is:

(b) is equal to …

(9) if a = 5 and B = 3 Than Find the Answer

(a)

(b)

(10) if a = 5 and B = 3 Than Find the Answer

(a)

(b)

(11) Simplify

(a)

(b)

(12) Find the Value of M

(a)

(b)

(13) Find the Value of M

(a)

(b)

(14) Write Each Number in Standard Form

(a)

(b)

(c)

(15) Write Each Number in Standard Form

(a)

(b)

(c)

(16) the Standard Form of a Number is Given. Write It as a Regular Number

(a)

(b)

(c)

(17) the Standard Form of a Number is Given. Write It as a Regular Number

(a)

(b)

(c)

(18) Write the Numbers in Their Standard Form

(a) The population of India is 1376 million.

(b) A company make profit 4.6 crore rupees.

(c) The distance of earth from sun is 149.28 million km.

(d) The average hair on normal human body is 2.34 crore.

(e) Mass of virus is 0.0000000000034 g.

Answers and Explanations

Answer 1 (A)

  • Laws of exponents: exponents of numbers are added when the numbers are multiplied, subtracted when the numbers are divided, and multiplied when raised by still another exponent.
  • So here numbers are in multiplication form so exponents are added to each other

Answer 1 (B)

  • Given number are in divided from so exponents are subtract.
  • So,

Answer 1 (C)

  • Here numbers are in multiplication form and than divided from so first we add exponents in nominator and dominator and than subtract exponents of dominator from nominator.

Answer 2 (A)

  • Here numbers are in multiplication form so exponents are added to each other.

Answer 2 (B)

Answer 2 (C)

  • Given number are in divided from so exponents are subtract.

Answer 3 (A)

  • The zero exponent rules basically say that any base with an exponent of zero is equal to one.

Answer 3 (B)

  • Exponents of numbers are multiplied when raised by still another exponent.

  • The zero exponent rules basically say that any base with an exponent of zero is equal to one.

Answer 3 (C)

  • Here one things one should note that,

  • So,
  • Now, the zero exponent rule basically says that any base with an exponent of zero is equal to one.

Answer 4 (A)

  • Exponents to any base value/variable that means we have to multiply the same base number/variable by given exponents number of times.
  • So, means have to multiply 0 (number) to itself 0 (number) by 2 times.

Answer 4 (B)

  • Any base with an exponent of zero is equal to one.

Answer 4 (C)

  • Any base with an exponent of zero is equal to one.

Answer 5 (A)

  • Exponents of numbers are multiplied when raised by still another exponent.

  • Odd number exponents to any minus sign base number/variable will remove minus sign:

Answer 5 (B)

  • Given number are in divided from so exponents are subtracted.

Answer 5 (C)

  • Given number are in divided from so exponents are subtracted.

Answer 6 (A)

  • Here first we factorize the number 20.

  • Now,

Answer 7 (A)

  • Here

  • So, is correct answer.

Answer 7 (B)

  • Odd number exponents to any minus sign base number/variable will remove minus sign
  • So,

  • So, both and are correct answer.

Answer 8 (A)

  • The reciprocal of a number/variable is 1 divided by the number/variable.
  • So, reciprocal of given variable

  • So, both and are correct answer.

Answer 8 (B)

  • So, both and are correct answer.

Answer 9 (A)

  • So,

Answer 9 (B)

  • So,

Answer 10 (A)

  • So,

Answer 10 (B)

(Put the value of a = 5 and b = 3)

  • So,

Answer 11 (A)

Answer 11 (B)

Answer 12 (A)

  • Given equation,

  • Here both side base number is same, so its exponent is also have a same value, so we can write that,

Answer 12 (B)

  • Here both side base number is same, so its exponent is also have a same value, so we can write that,

Answer 13 (A)

  • Here both side base number is same, so its exponent is also have a same value, so we can write that,

Answer 13 (B)

  • Here both side base number is same, so its exponent is also have a same value, so we can write that,

Answer 14 (A)

  • We can write that

  • Now 54 factor is
  • 10 factor is

(Replace 54 by its factor, and 10 by its factor)

Answer 14 (B)

Answer 14 (C)

  • Now factor of

  • And factor of
  • So,

Answer 15 (A)

  • Now factor of

  • And factor of

  • So,

Answer 15 (B)

  • Now factor of

  • And factor of
  • So,

Answer 15 (C)

  • Given number,
  • Now factor of

  • Now,
  • So,

Answer 16 (A)

Answer 16 (B)

Answer 16 (C)

Answer 17 (A)

  • Given standard form of a number,

Answer 17 (B)

  • Given standard form of a number,

Answer 17 (C)

  • Given standard form of a number,

Answer 18 (A)

  • The population of India

Answer 18 (B)

  • A company make profit

Answer 18 (C)

  • The distance of earth from sun

Answer 18 (D)

  • The average hair on normal human body

Answer 18 (E)

  • Mass of virus

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