Given: A = (0.08x10^-3 x (102)3) / (0.2x0.1x103) ; B = 0.0025 x 10^-8 and C = -32 + 4 x 5 + (22-3)25 - 1. 1) Write A in the form a x 10^n, where a and n are integers. 2) Write B in scientific notations. 3) Show that C is a prime number.

V. 1) To write A in the form a × 10^n: Step 1: Simplify the numerator and denominator separately. A = 0.08 × 10^-3 × (10^2)^30.2 × 0.1 × 10^3 Numerator: 0.08 × 10^-3 × 10^2 × 3 = 0.08 × 10^-3 × 10^6 = 0.08 × 10^(-3+6) = 0.08 × 10^3 Denominator: 0.2 × 0.1 × 10^3 = 0.02 × 10^3 Step 2: Divide the simplified numerator by the simplified denominator. A = (0.08 × 10^3)/(0.02 × 10^3) = (0.08)/(0.02) × (10^3)/(10^3) = 4 × 1 A = 4 Step 3: Express A in the form a × 10^n where a and n are integers. A = 4 × 10^0 2) To write B in scientific notation: Given B = 0.0025 × 10^-8. Step 1: Convert 0.0025 into scientific notation. To move the decimal point 3 places to the right to get 2.5, we multiply by 10^-3. 0.0025 = 2.5 × 10^-3 Step 2: Substitute this back into the expression for B. B = (2.5 × 10^-3) × 10^-8 B = 2.5 × 10^(-3-8) B = 2.5 × 10^-11 3) To show that C is a prime number: Given C = -3^2 + 4 × 5 + (2^2 - 3)^25 - 1. Step 1: Evaluate each term according to the order of operations. -3^2 = -(3 × 3) = -9 4 × 5 = 20 (2^2 - 3)^25 = (4 - 3)^25 = (1)^25 = 1 Step 2: Substitute these values back into the expression for C. C = -9 + 20 + 1 - 1 Step 3: Calculate the value of C. C = 11 + 1 - 1 C = 12 - 1 C = 11 Step 4: Determine if C=11 is a prime number. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The number 11 is greater than 1, and its only positive divisors are 1 and 11. Therefore, C=11 is a prime number. What's next? Send 'em! 📸