Explanation

Explanation

 3/-2=a/-6

-2a=-18

a=18/2

a=9

Explanation

 Zero doesn't have a multiplicative inverse as the multiplicative inverse is reciprocal for a number “a”,

denoted by 1/a, is a number which when multiplied by “a” yields the multiplicative identity 1.

The product of any real number with zero is zero

ND5-07-2023

Explanation

Let's evaluate the expression:

67.5 × 10⁻⁹ = 6.75 × 10 × 10⁻⁹

= 6.75 × 10⁻⁸

= 0.0000000675

Explanation

Binary logic resembles binary arithmetic and the operation OR, and AND has some similarities with arithmetic addition and multiplication respectively

Explanation

Pattern 2,8,32,128,___,2048

As we see that each term multiplied by 4 is next term.

Which is 2x4=8, 8x4=32 and so on..

So, the blank missing number will be 128x4=512,

So the missing number will be 512.

Explanation

To find the Least Common Multiple (LCM) of 18, 24, and 36:

Prime factorization:

18 = 2 * 3²

24 = 2³ * 3

36 = 2² * 3²

LCM is the product of the highest powers of all prime factors:

Highest power of 2: 2³ (from 24)

Highest power of 3: 3² (from 18 and 36)

LCM = 2³ * 3² = 8 * 9 = 72

Explanation

Explanation

(18×3)+(45/5​)=54+9=63

Explanation

• Every subgroup of a cyclic group is also cyclic.
• This is because a subgroup of a cyclic group is generated by some power of the generator of the original group.