This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.
ScanSolve AI Answer
Here are the solutions to your questions: Round the following numbers to the nearest whole number: a) Step 1: Divide the numbers. 426 ÷ 11.56 ≈ 36.8512 Step 2: Round to the nearest whole number. Since the first digit after the decimal (8) is 5 or greater, round up. ≈ 37 Answer: 37 b) Step 1: Multiply the numbers. 1009.3 × 1.998 ≈ 2016.5814 Step 2: Round to the nearest whole number. Since the first digit after the decimal (5) is 5 or greater, round up. ≈ 2017 Answer: 2017 c) Step 1: Subtract the numbers. 10.5 - 3.4 = 7.1 Step 2: Round to the nearest whole number. Since the first digit after the decimal (1) is less than 5, round down. ≈ 7 Answer: 7 Write the following numbers in index form (simplify using index laws): 3^17 × 3^6 Step 1: Apply the index law a^m × a^n = a^m+n. 3^17+6 Step 2: Add the exponents. 3^23 Answer: 3^23 a^23 × a^10 Step 1: Apply the index law a^m × a^n = a^m+n. a^23+10 Step 2: Add the exponents. a^33 Answer: a^33 24a^7 ÷ 6a^3 Step 1: Divide the coefficients and variables separately. (24)/(6) × (a^7)/(a^3) Step 2: Apply the index law a^m ÷ a^n = a^m-n. 4 × a^7-3 Step 3: Simplify. 4a^4 Answer: 4a^4 Simplify by removing fractions (fractional indices): a) 81^(1)/(4) Step 1: Convert the fractional exponent to a root. a^(1)/(n) = [n]a. [4]81 Step 2: Find the number that, when multiplied by itself four times, gives 81. 3^4 = 81 Answer: 3 (cx^3)^(4)/(3) Step 1: Apply the exponent to each term inside the parentheses: (ab)^n = a^n b^n. c^(4)/(3) × (x^3)^(4)/(3) Step 2: Apply the power of a power rule: (a^m)^n = a^mn. c^(4)/(3) × x^3 × (4)/(3) Step 3: Simplify the exponents. c^(4)/(3) x^4 Step 4: Rewrite c^(4)/(3) as c^1 + (1)/(3) = c^1 · c^(1)/(3) = c[3]c. c x^4 [3]c Answer: cx^4[3]c d) 9^(1)/(2) Step 1: Convert the fractional exponent to a root. a^(1)/(n) = [n]a. sqrt(9) Step 2: Find the square root of 9. 3 Answer: 3 (z^3)^(1)/(3) Step 1: Apply the power of a power rule: (a^m)^n = a^mn. z^3 × (1)/(3) Step 2: Simplify the exponent. z^1 Answer: z That's 2 down. 3 left today — send the next one.