a) find the values of following 1)`(-5)^4`
2)`(3/2)^5`
3)`(7)^3`

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

Find the values of the following determinants |{:(1,1,1),(5,-3,1),(7,4,-2):}|

Find the values of the following determinants |{:(12,-10,5),(3,2,-1),(-4,0,3):}|

Re-arrange suitably and find the sum in each of the following: 2/3+(-4)/5+1/3+2/5 (ii) 1/8+5/(12)+2/7+7/(12)+9/7+(-5)/(16)

Find the sum of the following infinite series 1/2(1/5)^2+2/3(1/5)^3+3/4(1/5)^4+

Find the value of : 5a^2-3a+4 for a=3

3.Find the value of (5^0 +4^-1) times 2^2

Find the value: 2(4)/(5)div(-2(1)/(3))

Evaluate the following: |[7,5],[-2,3]|

Find the values of a and b in each of the following : (a)(5+2sqrt3)/(7+4sqrt(3))=a-6sqrt(3)" "(b)(3-sqrt(5))/(3+2sqrt(5))=asqrt(5)-(19)/(11) (c )(sqrt(2)+sqrt(3))/(3sqrt2-2sqrt(3))=2-bsqrt(6)" "(d)(7+sqrt(5))/(7-sqrt(5))-(7-sqrt(5))/(7+sqrt(5))=a+(7)/(11)sqrt(5b)