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# NCERT solutions Mathematics Class 8 chapter 12 Exponents and Powers

## Chapter 12 - Exponents and Powers

#### Pages 197 - 198

Evaluate 3−2

Q 1.1 | Page 197

Evaluate (−4)−2

Q 1.2 | Page 197

Evaluate (1/2)^(-5)

Q 1.3 | Page 197

Simplify and express the result in power notation with positive exponent.

(-4)5 ÷ (-4)8

Q 2.1 | Page 197

Simplify and express the result in power notation with positive exponent.

(1/2^3)^2

Q 2.2 | Page 197

Find the value of (3−1 + 4−1 + 5−1)0

Q 3.4 | Page 197

Find the value of {((-2)/3)^(-2)}^2

Q 3.5 | Page 197

Find the value of m for which 5m ÷5−3 = 55.

Q 5 | Page 198

Evaluate  {(1/3)^(-1) - (1/4)^(-1)}^(-1)

Q 6.1 | Page 198

Evaluate (5/8)^(-7) xx (8/5)^(-4)

Q 6.2 | Page 198

Simplify (25 xx t^(-4))/(5^(-3) xx10xxt^(-5)) (t != 0)

Q 7.1 | Page 198

Simplify (3^(-5) xx 10^(-5) xx 125)/(5^(-7) xx 6^(-5))

Q 7.2 | Page 198

#### Page 200

Express the given numbers in standard form.

0.0000000000085

Q 1.1 | Page 200

Express the given numbers in standard form.

0.00000000000942

Q 1.2 | Page 200

Express the given numbers in standard form.

6020000000000000

Q 1.3 | Page 200

Express the given numbers in standard form.

0.00000000837

Q 1.4 | Page 200

Express the given numbers in standard form.

31860000000

Q 1.5 | Page 200

Express the given numbers in usual form.

3.02 × 10−6

Q 2.1 | Page 200

Express the given numbers in usual form.

4.5 × 104

Q 2.2 | Page 200

Express the given numbers in usual form

3 × 10−8

Q 2.3 | Page 200

Express the given numbers in standard form.

1.0001 × 109

Q 2.4 | Page 200

Express the given numbers in standard form.

5.8 × 1012

Q 2.5 | Page 200

Express the given numbers in standard form.

5.8 × 1012

Q 2.5 | Page 200

Express the given numbers in standard form.

3.61492 × 106

Q 2.6 | Page 200

Express the number appearing in the given statements in standard form

1 micron is equal to 1/1000000 m

Q 3.1 | Page 200

Express the number appearing in the given statements in standard form

Charge of an electron is 0.000, 000, 000, 000, 000, 000, 16 coulomb.

Q 3.2 | Page 200

Express the number appearing in the given statements in standard form

Size of a bacteria is 0.0000005 m

Q 3.3 | Page 200

Express the number appearing in the given statements in standard form

Size of a plant cell is 0.00001275 m

Q 3.4 | Page 200

Express the number appearing in the given statements in standard form

Thickness of a thick paper is 0.07 mm

Q 3.5 | Page 200

In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack?

Q 4 | Page 200

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