Question

Help would be much appreciated

16. Simplify the expression. Write the answer using scientific notation.

(4 x 108)−2

1. 6.25 x 10−17


2. 0.0625 x 10−16


3. 6.25 x 10−18


4. −8 x 10−16

Answer 1

(4 x 108)−2 simplified = 430

Answer:

= 4.3 × 10²
(scientific notation)

= 4.3e2
(scientific e notation)

= 430 × 10⁰
(engineering notation)
(one)

= 430
(real number)

________________________________________________

6.25 x 10−17 simplify = 45.5

Answer:

= 4.55 × 10¹
(scientific notation)

= 4.55e1
(scientific e notation)

= 45.5 × 10⁰
(engineering notation)
(one)

= 45.5
(real number)
_________________________________________________

0.0625 x 10−16 simplify = -15.375

Answer:

= -1.5375 × 10¹
(scientific notation)

= -1.5375e1
(scientific e notation)

= -15.375 × 10⁰
(engineering notation)
(one)

= -15.375
(real number)
___________________________________________________

6.25 x 10−18 simplify = 44.5

Answer:

= 4.45 × 10¹
(scientific notation)

= 4.45e1
(scientific e notation)

= 44.5 × 10⁰
(engineering notation)
(one)

= 44.5
(real number)

_________________________________________________
−8 x 10−16 simplify = -96Answer:

= -9.6 × 10¹
(scientific notation)

= -9.6e1
(scientific e notation)

= -96 × 10⁰
(engineering notation)
(one)

= -96
(real number)