## Algebra 1

Published by Prentice Hall

# Chapter 7 - Exponents and Exponential Functions - 7-5 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 446: 93

#### Answer

Density =$1.6 * 10^6$ $grams/m^3$

#### Work Step by Step

$density = mass/volume$ $mass = 1.02*10^{26}$ kg $mass = 1.02*10^{26}*10^3$ g $mass = 1.02*10^{29}$ g $radius = 2.48* 10^4$ km $radius = 2.48* 10^4*10^3$ m $radius = 2.48* 10^7$ m $V = 4/3*\pi*r^3*1000$ $V = 4/3*\pi*(2.48*10^7)^3$ $V = 4.18879 *15.252992*10^{21}$ $V = 63.8915803597 * 10^{21}$ $V = 6.389 * 10^{22}$ $density = mass/volume$ $density = 1.02* 10^{29}/6.389 *10^{22}$ $D = 1.02/63.89 * 10^{29}/10^{22}$ $D = .0159645 * 10^{29-22}$ $D = .0159645 * 10^{7}$ $D = 1.59645 * 10^{6}$ $D = 1.597 * 10^{6}$

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