Question

Charles, Zayeer, and Kali are trying to simplify 1,00023
. Charles says the correct simplification is 10 because 1,000=10⋅10⋅10
and 1,00023=10
. Zayeer says the correct simplification is 1,000 because 1,000=10⋅10⋅10→1,00023=10⋅10⋅10=1,000
. Kali says the correct simplification is 100 because 1,000=10⋅10⋅10→1,00023=10⋅10=100
. Who has the correct value?(1 point)
Responses

none of them
none of them

Zayeer
Zayeer

Charles
Charles

Kali

Answer 1

Let's simplify \( 1,000^{23} \).

First, we know that \( 1,000 = 10^3 \).

So we can re-write \( 1,000^{23} \) as follows:

\[
1,000^{23} = (10^3)^{23}
\]

Now, using the power of a power property in exponents, we multiply the exponents:

\[
(10^3)^{23} = 10^{3 \times 23} = 10^{69}
\]

Thus, \( 1,000^{23} = 10^{69} \).

Now let's evaluate the claims made by Charles, Zayeer, and Kali:

- **Charles says the correct simplification is 10** - this is incorrect because \( 1,000^{23} = 10^{69} \).
- **Zayeer says the correct simplification is 1,000** - this is also incorrect for the same reason.
- **Kali says the correct simplification is 100** - again, this is incorrect.

Since none of them correctly simplified \( 1,000^{23} \), the correct response is:

**none of them**.