Without using mathematical tables, evaluate the following leaving your answers in standard form. a) M/N where…

Question

Without using mathematical tables, evaluate the following leaving your answers in standard form. a) M/N where M = 7.2 × 10⁻³ and N = 5 × 10⁻¹¹. b) square root of (0.81 × 10⁻⁵) / (2.25 × 107). c) P/Q where P = 3.6 × 10⁻³ and Q = 2.25 × 106. d) square root of (8.1 × 103) / (1.44 × 104)

ScanSolve AI Tutor · Accepted Answer

Step 1: Separate the numerical parts and the powers of 10. (8.1 × 10³)/(1.44 × 10⁴) = (8.1/1.44) × ((10³)/(10⁴)) Step 2: Divide the numerical parts. 8.1/1.44 = 5.625; Step 3: Divide the powers of 10 using the exponent rule (a^m)/(aⁿ) = a^(m−n). (10³)/(10⁴) = 10³⁻⁴ = 10⁻¹ Step 4: Combine the results to get the answer in standard form. 5.625 × 10⁻¹ The final answer is 5.625 × 10⁻¹.

Without using mathematical tables, evaluate the following leaving your answers in standard form. a) M/N where M = 7.2 x 10⁻³ and N = 5 x 10⁻¹¹. b) square root of (0.81 x 10⁻⁵) / (2.25 x 107). c) P/Q where P = 3.6 x 10⁻³ and Q = 2.25 x 106. d) square root of (8.1 x 103) / (1.44 x 104)

Step-by-step solution

Separate the numerical parts and the powers of 10.

Divide the numerical parts.

Divide the powers of 10 using the exponent rule $\frac{a^m}{a^n} = a^{m-n}$ .

Combine the results to get the answer in standard form.

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