Charles, Zayeer, and Kali are trying to simplify 1,00023

Question

. 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

Kali
Kali

Charles
Charles

Zayeer
Zayeer

none of them

Answer 1

Let's break down the expression \( 1,000^{23} \):

We know that \( 1,000 = 10^3 \). So, we can rewrite \( 1,000^{23} \) as:

\[ (10^3)^{23} \]

Using the exponentiation rule \( (a^m)^n = a^{m \cdot n} \), we get:

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

Now we want to determine which of the three answers (Charles, Zayeer, and Kali) corresponds with \( 10^{69} \).

• Charles says the simplification is \( 10 \).
• Zayeer says the simplification is \( 1,000 \).
• Kali says the simplification is \( 100 \).

None of these values correspond to \( 10^{69} \).

Therefore, the correct answer is none of them.