math basic algebra work sheets 9 work sheets

Wk 6 Tuesday Exponents and Scientific Notation

1. Determine whether the following have been worked out correctly or not. If they are correct, simply state, ”correct”; if they are incorrect, please find the correct solution.

(ab)2 = ab2

( 2

a

)3 =

8

a3 (a 6= 0) y2 ·y6 = y12

xy0 = 0 45 · 42 = 167 26 = (22)3 = 43 = 64

2. Assume the variables represent nonzero real numbers. Simplify the following.

30 + (−3)0 − 20 + a0 − 2x0

3. Simplify and write each expression with only positive exponents. Assume all variables represent nonzero real numbers.

7−2 − b−4 2−1 + 8−1 23x12

2−2x4

4. Simplify and write each expression with only positive exponents. Assume all variables represent nonzero real numbers.(

1

5

)−2 (5a−1)4(a2)−3 − 4r−2(r4)2

(z−4x3)−2 (p−2)0

5p−4 m2n−8

m−6n3

( 2p

q2

)3 ( 3p4

q−4

)−1 ( − 3x4y6

15x−6y7

)−3

5. Write each number in scientific notation.

−976, 000, 000 0.0072 0.000000589

6. Write each number in standard notation.

7.2 × 104 5.42 × 10−6 − 8.91 × 102