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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 9: Q 603. (page 1145)

Gravity An airplane dropped a flare from a height of $1024$ feet above a lake. Simplify $\frac{1024^{\frac{1}{2}}}{16^{\frac{1}{2}}}$
to find how many seconds it took for the flare to reach the water.

Short Answer

Expert verified

It took $8$ seconds for flare to reach the water.

Step by step solution

01

Given Information

The given expression is $\frac{1024^{\frac{1}{2}}}{16^{\frac{1}{2}}}$

02

Simplification

$\frac{1024^{\frac{1}{2}}}{16^{\frac{1}{2}}}$

The numerator of exponent is the power of radicand and denominator is index.

$= \sqrt{\frac{1024}{16}}$

Simplify

$= \sqrt{64}$

$= 8$ seconds

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