Chapter 5: Q. 19 (page 283)

Approximate each number using a calculator. Express your answer rounded to three decimal places.
(a) $3 . 1^{2.7}$
(b) $3 . 14^{2.71}$
(c) $3 . 141^{2.718}$
(d) $π^{e}$

Short Answer

Expert verified

(a) $21.217$

(b) $22.217$

(d) $22.459$

Step by step solution

Part (a) Step 1. Given

Given expression

$3 . 1^{2.7}$

Part (a) Step 2. Calculation

on calculating using calculator we get

$3 . 1^{2.7 \approx} 21.216638$

on rounding it off up to three decimal places we get

$3 . 1^{2.7} \approx 21.216$

Part (b) Step 1. Given

Given expression

$3 . 14^{2.71}$

Part (b) Step 2. Calculation

on calculating using calculator we get

$3 . 14^{2.71} \approx 22.216689$

on rounding it off up to three decimal places we get

$3 . 14^{2.71} \approx 22.216$

Part (c) Step 1. Given

Given expression

$3 . 141^{2.718}$

Part (c) Step 2. Calculation

on calculating using calculator we get

$3 . 141^{2.718} \approx 22.440402$

on rounding it off up to three decimal places we get

$3 . 141^{2.718} \approx 22.440$

Part (d) Step 1. Given

Given expression

$π^{e}$

Part (d) Step 2. Calculation

on calculating using calculator we get

$π^{e} \approx 22.459157$

on rounding it off up to three decimal places we get

$π^{e} \approx 22.459$

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Approximate each number using a calculator. Express your answer rounded to three decimal places.
(a) $3 . 1^{2.7}$
(b) $3 . 14^{2.71}$
(c) $3 . 141^{2.718}$
(d) $π^{e}$

Short Answer

Step by step solution

Part (a) Step 1. Given

Part (a) Step 2. Calculation

Part (b) Step 1. Given

Part (b) Step 2. Calculation

Part (c) Step 1. Given

Part (c) Step 2. Calculation

Part (d) Step 1. Given

Part (d) Step 2. Calculation

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Approximate each number using a calculator. Express your answer rounded to three decimal places.(a)3.12.7(b) 3.142.71(c) 3.1412.718(d)πe

Short Answer

Step by step solution

Part (a) Step 1. Given

Part (a) Step 2. Calculation

Part (b) Step 1. Given

Part (b) Step 2. Calculation

Part (c) Step 1. Given

Part (c) Step 2. Calculation

Part (d) Step 1. Given

Part (d) Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Probability and Statistics

Calculus

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

Approximate each number using a calculator. Express your answer rounded to three decimal places.
(a) $3 . 1^{2.7}$
(b) $3 . 14^{2.71}$
(c) $3 . 141^{2.718}$
(d) $π^{e}$