Math Chapter 4

Question 1

Write useing exponents

5 * 5 * a * a

Answer 1

25a²

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Question 2

2(9-4)²

Answer 2

50

Don’t forget PEMDAS

4-2

Question 3

3m - 11/n, for m =7, n =14

Answer 3

5/7

4-6

Question 4

Define a rational number

Answer 4

any number you can write as a quotient of two numbers a/b where b is not 0

1 1/4, 3/3, .25, -7/5

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Question 5

simplify

a^m + aⁿ

Answer 5

a^m+n

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Question 6

simplfy

a⁵ * a¹ * b²

Answer 6

= a⁵⁺¹ * b²
= a⁶ * b²

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Question 7

-2x² * 3x⁵

Answer 7

= -2 * 3 * x² * x⁵
= -6x⁷

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Question 8

(a^m)ⁿ

Answer 8

a^m*n

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Question 9

-9c² * (-2c⁸)

Answer 9

18c¹⁰

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Question 10

Simplify

4⁵/4²

Answer 10

= 4^5-2
= 4³

4-8

Question 11

12m⁵/3m

Answer 11

4m⁴

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Question 12

3⁰

Answer 12

1

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Question 13

3⁴/3⁴

Answer 13

= 3^4-4
= 3⁰
= 1

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Question 14

write as a fraction

3^-2

Answer 14

1/3²

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Question 15

5⁶ / 5⁸

Answer 15

= 5^6-8
= 5^-2
= 1/5²
=1/25

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Question 16

Write without fraction bar

x²y³ / x³y

Answer 16

x^-1y²

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Question 17

5x² / 10x^-5

Answer 17

=1/2 x^-7
= 1/2 * x⁷/1
= x⁷/2

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Question 18

write in scientific notation

4,200,000

Answer 18

4.2 x 10⁶

You moved the decemal place 6 to the left; ten to the SIXTH

4-9

Question 19

write in scientific notation

0.000079

Answer 19

7.9 x 10^-5

You moved the decemal place 5 to the right; ten to the FIFTH

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Question 20

write in scientific notation

.37 x 10¹⁰

Answer 20

= 3.7 x 10^-1 x 10¹⁰
= 3.7 x 10⁹

First we multiply .37 by 10 ^-1 to move it to right one

4-9

Question 21

(3 x 10^-7)(9 x 10³)

Answer 21

= 27 x 10^-4
= 2.7 x 10^-3

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