Question

Write 74 in expanded form. Then check all that apply.
The base is 7.
The exponent is 4.
The exponent tells you to multiply 7 together 4 times.
The exponent tells you to multiply 4 together 7 times.
The expanded form is 4 × 4 × 4 × 4 × 4 × 4 × 4.
The expanded form is 7 × 7 × 7 × 7.

Answer 1

To write 74 in expanded form in terms of powers, you would typically express it as a summation of its digits, but in this case, it seems you are referencing a number with a base and exponent context.

Assuming you meant \(7^4\) (which is \(7\) raised to the power of \(4\)):

1. The expanded form for \(7^4\) is:
\[
7 \times 7 \times 7 \times 7
\]

Now, let's check the statements:

1. **The base is 7.** - True.
2. **The exponent is 4.** - True.
3. **The exponent tells you to multiply 7 together 4 times.** - True (this is the definition of exponentiation).
4. **The exponent tells you to multiply 4 together 7 times.** - False (the exponent is applied to the base, not the other way around).
5. **The expanded form is 4 × 4 × 4 × 4 × 4 × 4 × 4.** - False (this is incorrect; it's a misinterpretation of the number and its expanded form).
6. **The expanded form is 7 × 7 × 7 × 7.** - True.

Therefore, the correct statements are:

- The base is 7.
- The exponent is 4.
- The exponent tells you to multiply 7 together 4 times.
- The expanded form is 7 × 7 × 7 × 7.