Question

Evaluate

a) 2-² ,b) (1/3)-²​

Answer 1

Answer:

Solution:

1) 32 can be written as (30+2)

32²=(30+2)²=(30+2)(30+2)

we know the identity

(a+b)²=a²+b²+2ab

=30

²

+2×30×2+2

²

= 900+120+4=1024

(32)²=1024

2) (35)

²

= (30+5)

²

= 30

²

+2×30 x 5 +5²= 900 + 300 + 25 = 1225

(35)

²

=1225

3) 71² = (70 + 1)²= 70² + 2 X 70 X 1 + 1²= 4900 + 140 + 1 = 5040+1 = 5041

71

²

=5041

4) 46

²

=(40+6)²= 40²+ 2 X 40 X 6 +6²= 1600+480+36=2080+36=2116

46

²

=2116

Answer 2

Answer :

$\large \implies \sf a) \frac{1}{4} \\ \\ \implies \large\sf b) 9$

Solution :

$\large\sf a) 2^{-2} \\ \implies \frac{1}{2^2} \\ \\ \implies \frac{1}{4}$

━━━━━━━━━━━━━━━━━━━━

$\large\sf b) \frac{1}{3^{-2}} \\ \\ \implies \sf 3^2 \\ \\ \implies 9$

‌

${\fcolorbox{red}{blue}{\orange{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: SugarCrash\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}$