Question

plz tell the answer
class 8 convent school​

Answer 1

Answer:

175/192 (0.91145 in decimal value)

Step-by-step explanation:

( 3⁻¹ + 4⁻¹ ) × ( 4/5 )⁻²

Apply exponent rule a⁻¹ = 1/a

= ( 1/3 + 1/4 ) × ( 4/5 )⁻²

Simplify 1/3 + 1/4: 7/12 (denominator as 12 by fiindng LCM of 3,4 and adding the sum as the denominator is the same)

= ( 7/12 ) × ( 4/5 )⁻²

Apply the exponent rule a⁻ᵇ = 1/aᵇ

=  ( 4/5 )⁻² = 1/ (4/5)² = 1/ (16/25) = 25/16 (reciprocal)

Now, multiply it

= (7/12) × (25/16)

= (7 × 25) / (12 × 16) (Multiply numerators and denominators)

= 175 / 192