Question

What is the simplified form of each expression? (1 point)

Answer 1

1. 
-(10)⁻¹ = -1/10
Answer: - 1/10

2.
1/c⁻⁵ = c⁵
Answer: c⁵

3.
$\frac{y^{-5}}{x^{-3}} = \frac{x^{3}}{y^{5}}$
When x = 2 and y = -4, obtain
2³/(-4)⁵ = 8/-1024 = -1/128
Answer: -1/128

4.
5.1 x 10⁸ is written in scientific notation.
Answer: Yes; the number is written in scientific notation.

5.
5.71 x 10⁻³ = 0.00571 (in standard notation)
Answer: 0.00571

6.
The given diameters are
1.7 x 10⁻⁴, 1.4 x 10⁻³, 1.2 x 10⁻⁵, 1.9 x 10⁻⁴ cm
In ascending order, they are
1.2 x 10⁻⁵, 1.7 x 10⁻⁴, 1.9 x 10⁻⁴, 1.4 x 10⁻³ cm
Answer: 1.2 x 10⁻⁵, 1.7 x 10⁻⁴, 1.9 x 10⁻⁴, 1.4 x 10⁻³