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

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## (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 …

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## (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.

• 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

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

• 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.

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

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

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

• 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.

• 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.

• 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.

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

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

• 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:

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

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

• Here first we factorize the number 20.

• Now,

• Here

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

• So, both and are correct answer.

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

• So, both and are correct answer.

• So, both and are correct answer.

• So,

• So,

• So,

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

• So,

• Given equation,

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

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

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

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

• We can write that

• Now 54 factor is
• 10 factor is

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

• Now factor of

• And factor of
• So,

• Now factor of

• And factor of

• So,

• Now factor of

• And factor of
• So,

• Given number,
• Now factor of

• Now,
• So,

• Given standard form of a number,

• Given standard form of a number,

• Given standard form of a number,

• The population of India

• A company make profit