Question

For each calculation choose the correct answer written in standard form​

Answer 1

a) To multiply, add the exponents:
`\( (7 * 10^5)(3 * 10^2)` =
`21 * 10^(5+2) = 21 * 10^7 \)`. Therefore, the correct answer is B. b) To divide, subtract the exponents:
`\( (2 * 10^5)/(4 * 10^2) = 0.5 * 10^(5-2) = 0.5 * 10^3 \)`. Therefore, the correct answer is C.

a) When multiplying
`\((7 * 10^5)(3 * 10^2)\)`, add the exponents to get
`\(21 * 10^7\)`. Therefore, the correct answer is B:
`\(21 * 10^7\)`.

b) For division
`\((2 * 10^5)/(4 * 10^2)\)`, subtract the exponents resulting in
`\(0.5 * 10^3\)`. Thus, the correct answer is C:
`\(0.5 * 10^3\)`. These operations showcase the rules of exponents, simplifying expressions in standard form for efficient mathematical representation.