MANIPULATING EXPONENTS
MORE THAN ONE RULE AT ONCE
RULES
SCIENTIFIC NOTATION
REVIEW
100

Taking an to the 1/2 power is the same as

square root

100

(7xy)2

72x2y2

49x2y2

100

90

1

100

(5 x 1012) x (9 x 1010)

45 x 1022

100

Solve for x 

2x + 3 = 15

x=6

200

Simplify the following by manipulating the fraction

813/2

(811/2)3 

(813)1/2

200

(6x4y6)3

63x12y18 

216x12y18

200

714 x 314

2114

200

(15 x 1023) / (5 x 1014)

3 x 109

200

Find the missing side 


x= 10

300

Write this with a multiplication rule

78

73x75

300


6c1d3

300

(94)7

928

300

(8.3 x 1012) x (2 x 1028)

16.6 x 1040

300

Write the following in scientific notation

.00075

7.5 x 10-4

400

WRITE THIS WITH DIVISION WITH EXPONENTS

m15


m20/m5

400

(6x2)(-3x5)

-18x7

400

1513/159

154

400

(9.3 x 103) + (5.2 x 102)

9.28 x 103

400

8(5x + 5) = 360

x=8

500

Write the following with parentheses

y24 

(y4)6

500


35m10n35/m5

243m5n35

500

57x 510

517

500

(15.5 x 109) - (13 x 107)

15.37 x 109

500

What is the slope and y-intercept of the following equation

y=-12x + 92

y-intercept = 92

slope = -12