To write repeated multiplication using exponents, we look at two things:
1.
The base: This is the number being multiplied.
2.
The exponent: This is the count of how many times that number appears in the multiplication.
The format is written as: $\text{base}^{\text{exponent}}$
Let's go through each problem step by step:
1 a. $9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9$
- The number being multiplied is
9.
- Count how many 9s there are: There are
9 of them.
- Result: $9^9$
2 a. $64 \times 64 \times 64 \times 64 \times 64 \times 64 \times 64 \times 64 \times 64$
- The number being multiplied is
64.
- Count how many 64s there are: There are
9 of them.
- Result: $64^9$
3 a. $4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4$
- The number being multiplied is
4.
- Count how many 4s there are: There are
8 of them.
- Result: $4^8$
4 a. $100 \times 100 \times 100 \times 100 \times 100$
- The number being multiplied is
100.
- Count how many 100s there are: There are
5 of them.
- Result: $100^5$
5 a. $1 \times 1$
- The number being multiplied is
1.
- Count how many 1s there are: There are
2 of them.
- Result: $1^2$
6 a. $2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$
- The number being multiplied is
2.
- Count how many 2s there are: There are
7 of them.
- Result: $2^7$
7 a. $95 \times 95 \times 95$
- The number being multiplied is
95.
- Count how many 95s there are: There are
3 of them.
- Result: $95^3$
8 a. $7 \times 7$
- The number being multiplied is
7.
- Count how many 7s there are: There are
2 of them.
- Result: $7^2$
9 a. $1 \times 1 \times 1 \times 1 \times 1 \times 1$
- The number being multiplied is
1.
- Count how many 1s there are: There are
6 of them.
- Result: $1^6$
10 a. $2 \times 2 \times 2 \times 2$
- The number being multiplied is
2.
- Count how many 2s there are: There are
4 of them.
- Result: $2^4$
Final Answer:
1 a. $9^9$
2 a. $64^9$
3 a. $4^8$
4 a. $100^5$
5 a. $1^2$
6 a. $2^7$
7 a. $95^3$
8 a. $7^2$
9 a. $1^6$
10 a. $2^4$
Parent Tip: Review the logic above to help your child master the concept of worksheet exponents.
