Let's work through the questions visible in the image:

17. $7 \times 7 \times 7 \times 7$

This can be written as:

• Exponent form: $7^4$

18. $3 \times 3 \times 3 \times 3 \times 3 \times 3$

This can be written as:

• Exponent form: $3^6$

19. $\frac{1}{5} \times \frac{1}{5}$

This can be written as:

• Exponent form: $\left( \frac{1}{5} \right)^2$

Problems 20–22 ask to write each expression in expanded form and then calculate the value.

20. $7^1$

• a. Expanded form: $7$
• b. Value of the expression: $7$

21. $5^4$

• a. Expanded form: $5 \times 5 \times 5 \times 5$
• b. Value of the expression: $625$

22. $7(2)^3$

• a. Expanded form: $7 \times (2 \times 2 \times 2)$
• b. Value of the expression: $7 \times 8 = 56$

Evaluate each expression:

23. $2^x$ for $x = 9$

• Value: $2^9 = 512$

24. $6n^2$ for $n = 3$

• Value: $6(3^2) = 6 \times 9 = 54$

25. $4s^3$ for $s = 5$

• Value: $4(5^3) = 4 \times 125 = 500$

Do you need more details or have any questions?

Here are some related questions:

1. What is the general rule for converting repeated multiplication into exponents?
2. How do you simplify $(a \times b)^n$ when both $a$ and $b$ are raised to the power of $n$?
3. What is the formula for the square of a binomial, such as $(a + b)^2$?
4. How can exponents be used in real-world problems, like compound interest?
5. How do negative exponents affect the value of an expression?

Tip: Always check your expanded form before calculating the value to ensure all terms are correctly represented!