# Class 8 Maths NCERT Solutions for Chapter – 12 Exponents and Powers Ex – 12.1

## Exponents and Powers

Question 1.
Evaluate :
(i) 3-2
(ii) (-4)-2
(iii) $\left( \frac { 1 }{ 2 } \right) ^{ -5 }$

Solution:

Question 2.
Simplify and express the result in power notation with positive exponent:
(i)
(-4)-5 ÷ (-4)-5
(ii) $\left( \frac { 1 }{ { 2 }^{ 3 } } \right) ^{ 2 }$
(iii) (-3)-4 x $\left( \frac { 5 }{ 3 } \right) ^{ 4 }$
(iv) (3-7 ÷ 3-10) x 3-5

Solution:

Question 3.
Find the value of :
(i)
(30 + 4-1) x 22
(ii) (2-1 x 4-1) ÷ 2-2
(iii) $\left( \frac { 1 }{ 2 } \right) ^{ -2 }+\left( \frac { 1 }{ 3 } \right) ^{ -2 }+\left( \frac { 1 }{ 4 } \right) ^{ -2 }$
(iv) (3-1 4-1 + 5-1)0
(v) $\left\{ \left( \frac { -2 }{ 3 } \right) ^{ -2 } \right\} ^{ 2 }$

Solution:

Question 4.
Evaluate
(i) $\frac { { 8 }^{ -1 }\times { 5 }^{ 3 } }{ { 2 }^{ -4 } }$
(ii) (5-1 x 2-1) x 6-1

Solution:

Question 5.
Find the value of m for which 5m + 5-3 = 55.

Solution:

Question 6.
Evaluate

Solution:

Question 7.
Simplify :

Solution:

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