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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q.427 (page 93)

In the following exercise, simplify $\frac{4^{3} - 4^{2}}{{(\frac{4}{5})}^{2}}$

Short Answer

Expert verified

The simplified value is $75$

Step by step solution

01

Step 1, Given the information

The expression number is $\frac{4^{3} - 4^{2}}{{(\frac{4}{5})}^{2}}$

02

Step 2. Simplification

Here, $\frac{4^{3} - 4^{2}}{{(\frac{4}{5})}^{2}} = \frac{64 - 16}{\frac{16}{25}} = \frac{48 * 25}{16} = \frac{3 * 25}{1} = 75$

03

Step 3. Conclusion

Hence, the simplified value is $75$

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