Explanation

.008 x .008 = .000064

Explanation

1163​=1619​  Its reciprocal=1916​
∴ Required difference=1619​−1916​
=304361−256​=304105​

Explanation

Markup = Principal × Rate × Time

= 8000 × 7/100 × 5

= 8000 × 0.07 × 5

= 8000 × 0.35

= 2800

Explanation

= 8/3 - 3/4

= LCM of 3 and 4 = 12

= 8/3 = 32/12, 3/4 = 9/12

= 32/12 - 9/12 = 23/12

Explanation

Smallest 5-digit number: 10000

Greatest 4-digit number: 9999

Result = 10000 - 9999= 1

Explanation

Explanation

When multiplying matrices, the order of the resulting matrix is determined by the rows of the first matrix (A) and columns of the second matrix (B).

Since A is 2×3 and B is 3×1, the resulting matrix AB will be of order 2×1.

Explanation

Any nonzero number raised to the zero power is:

1

This is a fundamental property of exponents:

a⁰ = 1 (where a ≠ 0)

Explanation

Explanation: 3.14 x 10^6 = 3.14 x 1000000 = 3140000.

Explanation

Given:

∪ = {1, 2, 3, ..., 15}

A = {2, 4, 6, ..., 14}

B = {1, 3, 5, ..., 15}

A' = ∪ - A = {1, 3, 5, ..., 15} = B

B' = ∪ - B = {2, 4, 6, ..., 14} = A

A' ∪ B' = B ∪ A = ∪ (since B and A are complementary sets that together form ∪)