Question

5^7*5^8

8^5/8^2

6^9 divided by 6^2

Write 9*9*9 using an exponent

What is the value of 3^4

Which expression represents 5 squared or 5^2

What is (4^5)^2

What is 6^0

What is 10^1

What is 500^0

Answer 1

Summarize and just show the answers

Answer 2

Let's solve each of your questions step by step:

1. **Calculate 5^7 * 5^8**:
\[
5^7 * 5^8 = 5^{7+8} = 5^{15}
\]

2. **Calculate 8^5 / 8^2**:
\[
8^5 / 8^2 = 8^{5-2} = 8^3
\]

3. **Calculate 6^9 divided by 6^2**:
\[
6^9 / 6^2 = 6^{9-2} = 6^7
\]

4. **Write 9 * 9 * 9 using an exponent**:
\[
9 * 9 * 9 = 9^3
\]

5. **What is the value of 3^4**:
\[
3^4 = 81
\]

6. **Which expression represents 5 squared or 5^2**:
\[
5^2 = 25
\] (The expression itself is \(5^2\), but its value is 25.)

7. **What is (4^5)^2**:
\[
(4^5)^2 = 4^{5*2} = 4^{10}
\]

8. **What is 6^0**:
\[
6^0 = 1 \quad (\text{Any non-zero number to the power of 0 is 1})
\]

9. **What is 10^1**:
\[
10^1 = 10
\]

10. **What is 500^0**:
\[
500^0 = 1 \quad (\text{Any non-zero number to the power of 0 is 1})
\]

These are the answers to your questions!

Answer 3

Sure! Here are the summarized answers:

1. \( 5^{15} \)
2. \( 8^3 \)
3. \( 6^7 \)
4. \( 9^3 \)
5. \( 81 \)
6. \( 5^2 \) (or 25)
7. \( 4^{10} \)
8. \( 1 \)
9. \( 10 \)
10. \( 1 \)