Exponent Test Review

Roots

100

(Hint: There are TWO roots)

sqrt0.25

+-0.5

200

Find the positive solution to

sqrt(25/81)

5/9 

300

Express the roots as mixed numbers.

sqrt(81/64)

+-1 1/8 or +-9/8

400

root(3)(343) 

7

500

root(3)(-512)  

-8

Scientific Notation

100

Express in scientific notation:

0.0126248

1.26248 xx 10^-2

200

(9.44 xx 10^9)(2.36 xx 10^5)  

2.22784 xx 10^15

300

Express in standard notation

7.75 xx 10^6  

7,750,000

400

(9.25 xx 10^7)/(1.85 xx 10^4 

5 xx 10^3

500

(9.83 xx 10^4) + (2.19 xx 10^5)

3.173 xx 10^5

Negative Exponents

100

Evaluate 

2^-4

1/16

200

Evaluate 

5^-3

1/125

300

The the expression using a negative exponent

1/25

5^-2

400

Express using a negative exponent

1/100

10^-2

500

Express using positive exponents

3^-2/[(3^-6)(5^2)]

3^4/5^2

Comparisons

100

Compare using <, >, or =

3 3/5 _____ 3.555... 

>

200

2.333... [ ] sqrt 5.3 

>

300

Compare using <, >, or =

5 1/6 [] sqrt27

<

400

Compare using <, >, or =

170% [] sqrt2.89

=

500

Compare using <, >, or =

3.12 [] sqrt9.8

<

Exponents

100

Express using exponents

(n^3)^4

n^12

200

Evaluate using exponents

3^2 * 3^7

3^9

300

Evaluate using exponents

(4^6)/(4^3)

4^3

400

Evaluate using exponents

(3x^5)^4

3^4*x^20

500

Evaluate

(2^5*5^2*(-6)^4)/((-6)^2*2^3*5^2

(-6)^2*2^2 or 36*4 or 144

Estimate Roots

100

sqrt-17

No Real Solution

200

sqrt369

~~19

300

sqrt322.7

~~18

400

root(3)(694)

~~9

500

root(3)6024

~~18