Question

Evaluate: ( 2-¹ × 3-¹ ) × 4-¹​

Answer 1

(1/2×1/3)×1/4

=1/6×1/4

=1/24

Answer 2

Answer:

Solution

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Correct option is A)

Using law of exponents, a

−m

=

a

m

1

⇒ (7

−1

−8

−1

)

−1

−(3

−1

−4

−1

)

−1

=(

7

1

−

8

1

)

−1

−(

3

1

−

4

1

)

−1

⇒ (

56

1×8−1×7

)

−1

−(

12

1×4−1×3

)

−1

=(

56

8−7

)

−1

−(

12

4−3

)

−1

=(

56

1

)

−1

−(

12

1

)

−1

Again we will use a

−m

=

a

m

1

⇒(7

−1

−8

−1

)

−1

−(3

−1

−4

−1

)

−1

=(

56

1

)

−1

−(

12

1

)

−1

=56−12=44.