Math Snap

STEP 1

1. We need to verify if $2^2 \times 3^2$ is equal to $6^4$.
2. We will use properties of exponents to simplify and compare both expressions.

STEP 2

1. Simplify the left-hand side expression.
2. Simplify the right-hand side expression.
3. Compare the simplified expressions.

STEP 3

Simplify the left-hand side expression $2^2 \times 3^2$.
$$2^2 = 4$$ $$3^2 = 9$$ $$2^2 \times 3^2 = 4 \times 9 = 36$$

STEP 4

Simplify the right-hand side expression $6^4$.
$$6^4 = (6 \times 6) \times (6 \times 6)$$ $$= 36 \times 36$$

STEP 5

Calculate $36 \times 36$.
$$36 \times 36 = 1296$$

Compare the results of the two expressions.
The left-hand side simplifies to $36$, while the right-hand side simplifies to $1296$.
Since $36 \neq 1296$, Dora is incorrect.
The conclusion is that $2^2 \times 3^2$ is not equal to $6^4$.