lesson 5.2. you will need to rewrite a mathematical expression in a different form to make the...
TRANSCRIPT
![Page 1: Lesson 5.2. You will need to rewrite a mathematical expression in a different form to make the expression easier to understand or an equation easier to](https://reader036.vdocuments.us/reader036/viewer/2022070402/56649f265503460f94c3ca93/html5/thumbnails/1.jpg)
Lesson 5.2
![Page 2: Lesson 5.2. You will need to rewrite a mathematical expression in a different form to make the expression easier to understand or an equation easier to](https://reader036.vdocuments.us/reader036/viewer/2022070402/56649f265503460f94c3ca93/html5/thumbnails/2.jpg)
34 4 4 4
You will need to rewrite a mathematical expression in a different form to make the expression easier to understand or an equation easier to solve.Recall that
If the exponent is a positive integer, you can write the expression in expanded form.
![Page 3: Lesson 5.2. You will need to rewrite a mathematical expression in a different form to make the expression easier to understand or an equation easier to](https://reader036.vdocuments.us/reader036/viewer/2022070402/56649f265503460f94c3ca93/html5/thumbnails/3.jpg)
Use expanded form to review and generalize the properties of exponents.
Write each product in expanded form, and then rewrite it in exponential form.
Generalize your results
3 4 5 12 2 52 2 x x 10 1 0
=______ m na a
![Page 4: Lesson 5.2. You will need to rewrite a mathematical expression in a different form to make the expression easier to understand or an equation easier to](https://reader036.vdocuments.us/reader036/viewer/2022070402/56649f265503460f94c3ca93/html5/thumbnails/4.jpg)
Write the numerator and denominator of each quotient in expanded form.
Reduce by eliminating common factors, and then rewrite the factors that remain in exponential form.
Step 4 Generalize your results.
155 8
2 6 5
0.944 x
4 x 0.94
m
n
a______
a
![Page 5: Lesson 5.2. You will need to rewrite a mathematical expression in a different form to make the expression easier to understand or an equation easier to](https://reader036.vdocuments.us/reader036/viewer/2022070402/56649f265503460f94c3ca93/html5/thumbnails/5.jpg)
Write each quotient in expanded form, reduce, and rewrite in exponential form.
Rewrite each quotient using the property you discovered in the previous step.
Generalize your results:
3 5 3
4 7 8
2 4
2 4 xx
1______
na
![Page 6: Lesson 5.2. You will need to rewrite a mathematical expression in a different form to make the expression easier to understand or an equation easier to](https://reader036.vdocuments.us/reader036/viewer/2022070402/56649f265503460f94c3ca93/html5/thumbnails/6.jpg)
Write several expressions in the form (an)m. Expand each expression, and then rewrite it in exponential form.
Generalize your results. Write several expressions in the form (a·b)n.
Don’t multiply a times b. Expand each expression, and then rewrite it in exponential form.
Generalize your results. Show that a0 = 1, using the properties you have
discovered. Write at least two exponential expressions to support your explanation.
![Page 7: Lesson 5.2. You will need to rewrite a mathematical expression in a different form to make the expression easier to understand or an equation easier to](https://reader036.vdocuments.us/reader036/viewer/2022070402/56649f265503460f94c3ca93/html5/thumbnails/7.jpg)
![Page 8: Lesson 5.2. You will need to rewrite a mathematical expression in a different form to make the expression easier to understand or an equation easier to](https://reader036.vdocuments.us/reader036/viewer/2022070402/56649f265503460f94c3ca93/html5/thumbnails/8.jpg)
![Page 9: Lesson 5.2. You will need to rewrite a mathematical expression in a different form to make the expression easier to understand or an equation easier to](https://reader036.vdocuments.us/reader036/viewer/2022070402/56649f265503460f94c3ca93/html5/thumbnails/9.jpg)
![Page 10: Lesson 5.2. You will need to rewrite a mathematical expression in a different form to make the expression easier to understand or an equation easier to](https://reader036.vdocuments.us/reader036/viewer/2022070402/56649f265503460f94c3ca93/html5/thumbnails/10.jpg)