Exponents Review - Sec 3

Intro to Powers

100

Write the following in exponential form:

 9*9*9*9 

 9^4 

200

Write the following in expanded form:

x^8 

 x * x*x*x*x*x*x*x 

300

Calculate the following power:

 -2^7 

-128

400

Write the following in exponential form:

 2(y*y*y*y*y) 

 2y^5 

500

Calculate the following power:
 (-5)^-3 

 -1/125  or  -0.008 

Exponent Laws

100

Simplify the following expression:

 a^7/a^-1 

a^8

200

Simplify the following expression:

 (-3^-1a^4b^-2c)(a^2b^6c^-1) 

 (a^6b^4)/-3 

300

Solve the following expression:

 ((2pn^-1q^0)^-4*2n^-1p^3)/(2pq^4) 

 (n^3q^4)/2^4 

or

(n^3q^4)/16

400

 (x^(1/4)y^4z^-2)(2x^-2y^(-2/3)z)(-x^-1yz^(3/8)) 

 -2x^(-11/4)y^(13/3)z^(-5/8) 

500

Simplify the following expression:

 ((a^-4b^-7)/(a^6b^-12))^-2* ((3a^5b^-7)/(a^9b))^3 

 (3^3)/(a^8b^34) OR  27/(a^8b^34) 

Radicals

100

Convert the following into radical form:

 x^(1/3) 

root3(x)

200

Convert the following into radical form: 

 y^(5/3) 

 root3(x^5) 

300

Convert the following into exponential form:

3root4(z^8)

3z^2

400

Is the simplified exponential version of the following radical correct: 

 5yroot10(m^2) = 5ym^(2/10) 

NO, the fully simplified version would be: 

 5ym^(1/5) 

500

Convert the following from exponential to radical form:

 9xroot3(y^6)z^2 

 9xy^2z^2 

Scientific Notation

100

Express the following in scientific notation: 

0.0005

5 xx 10^-4

200

Which of the following is the correct representation of the number 9999 in scientific notation?

a) 9999 xx 10^0 

b)  9.99 xx 10^3 

c) 9.999 xx 10^3 

b) 9.999 xx 10^3 

300

Find the product of the following expression, in scientific notation:

(2.486 xx 10^3)(7.54 xx 10^4)

1.874444 xx 10^8

400

Find the sum of the following expression: 

(1.36 xx10^2) + (2.785 xx10^-1)

 1.362785 xx 10^2 

500

Find the difference of the following expression: 

 (5.638 xx 10^8)- (356.8 xx 10^10)  

2.07 xx 10^12