Math Problem Statement
Evaluate the following expressions:
a. 10^810^7 b. 10^910^-5 c. 10^6/10^3 d. 10^8/10^-4
Solution
To evaluate the expressions involving powers of 10, we apply the laws of exponents. Specifically, for multiplication and division:
-
Multiplication of powers of the same base:
-
Division of powers of the same base:
Now, let's evaluate each expression:
a.
Using the multiplication rule:
b.
Using the multiplication rule:
c.
Using the division rule:
d.
Using the division rule:
Final answers:
- a.
- b.
- c.
- d.
Do you want details or have any questions?
Here are 5 related questions to deepen your understanding:
- What is ?
- Simplify .
- How would you simplify ?
- What is ?
- Evaluate .
Tip: When multiplying or dividing powers with the same base, always add or subtract the exponents!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Exponents
Laws of Exponents
Powers of 10
Formulas
10^a * 10^b = 10^{a+b}
10^a / 10^b = 10^{a-b}
Theorems
Laws of Exponents
Suitable Grade Level
Grades 6-8