What is a cube root? Which diagram represents this? Write the following in exponential form: a) 2x2 b) 7x7. Write the following as multiplication sentences: a) 122 b) 72. Identify the following in 32:

$$
2 \times 2 = 2^2
$$
The exponential form is $\boxed{\mathbf{2^2}}$.

**b)** $7 \times 7$

$$
7 \times 7 = 7^2
$$
The exponential form is $\boxed{\mathbf{7^2}}$.

$$
12^2 = 12 \times 12
$$
The multiplication sentence is $\boxed{\mathbf{12 \times 12}}$.

**b)** $7^2$

$$
7^2 = 7 \times 7
$$
The multiplication sentence is $\boxed{\mathbf{7 \times 7}}$.

The base is $\boxed{\mathbf{3}}$.

**b)** the exponent

The exponent is $\boxed{\mathbf{2}}$.

$$
3 \times 3 \times 3 = 3^3
$$
The exponential form is $\boxed{\mathbf{3^3}}$.

**b)** $2 \times 2 \times 2$

$$
2 \times 2 \times 2 = 2^3
$$
The exponential form is $\boxed{\mathbf{2^3}}$.

$$
2^3 = 2 \times 2 \times 2
$$
The expanded expression is $\boxed{\mathbf{2 \times 2 \times 2}}$.

**b)** $4^3$

$$
4^3 = 4 \times 4 \times 4
$$
The expanded expression is $\boxed{\mathbf{4 \times 4 \times 4}}$.

$$
2^2 = 2 \times 2 = 4
$$
$$
10^2 = 10 \times 10 = 100
$$

$$
4 + 100 = 104
$$
The calculated value is $\boxed{\mathbf{104}}$.

**b)** $6^2 - 3^2$

$$
6^2 = 6 \times 6 = 36
$$
$$
3^2 = 3 \times 3 = 9
$$

$$
36 - 9 = 27
$$
The calculated value is $\boxed{\mathbf{27}}$.