Find the value of each of the following:(i) (-7)2(ii) (-3)4(iii) (-5

1.	Find the value of each of the following:(i) (-7)2(ii) (-3)4(iii) (-5)5
Answer» (i) Given (-7)² We know that (-a) ^{even number}= positive number (-a)^{odd number}= negative number We have, (-7)² = (-7) × (-7) = 49 (ii) Given (-3)⁴ We know that (-a) ^{even number}= positive number (-a)^{odd number}= negative number We have, (-3)⁴ = (-3) × (-3) × (-3) × (-3) = 81 (iii) Given (-5)⁵ We know that (-a) ^{even number}= positive number (-a)^{odd number}= negative number We have, (-5)⁵ = (-5) × (-5) × (-5) × (-5) × (-5) = -3125

Find the value of each of the following:(i) (-7)2(ii) (-3)4(iii) (-5)5

Answer»

(i) Given (-7)²

We know that (-a) ^{even number}= positive number

(-a)^{odd number}= negative number

We have, (-7)²

= (-7) × (-7)

= 49

(ii) Given (-3)⁴

We know that (-a) ^{even number}= positive number

(-a)^{odd number}= negative number

We have, (-3)⁴

= (-3) × (-3) × (-3) × (-3)

= 81

(iii) Given (-5)⁵

We know that (-a) ^{even number}= positive number

(-a)^{odd number}= negative number

We have, (-5)⁵

= (-5) × (-5) × (-5) × (-5) × (-5)

= -3125