Question

Evaluate the following expressions.
a.
StartFraction 10 Superscript 40 Over 10 Superscript 30 EndFraction
b.
10 Superscript 0 Baseline plus 10 Superscript 1
c.
10 Superscript 5 Baseline plus 10 Superscript negative 3
d.
10 Superscript 5 Baseline minus 10 cubed
Question content area bottom
Part 1
a. StartFraction 10 Superscript 40 Over 10 Superscript 30 EndFraction
equals
  
enter your response here ​(Simplify your answer. Type your answer using exponential​ notation.)

Answer 1

Let's evaluate each expression one by one.

### Part a:
\[
\frac{10^{40}}{10^{30}} = 10^{40 - 30} = 10^{10}
\]
**Answer**: \(10^{10}\)

### Part b:
\[
10^{0} + 10^{1} = 1 + 10 = 11
\]
**Answer**: \(11\)

### Part c:
\[
10^{5} + 10^{-3} = 100000 + \frac{1}{1000} = 100000 + 0.001 = 100000.001
\]
**Answer**: \(100000.001\)

### Part d:
\[
10^{5} - 10^{3} = 100000 - 1000 = 99000
\]
**Answer**: \(99000\)

So, the answers to the expressions evaluated are:
- Part a: \(10^{10}\)
- Part b: \(11\)
- Part c: \(100000.001\)
- Part d: \(99000\)