Use the Power Rule of Exponents to create an expression equivalent to (156)2 .(1 point) Responses 1512 15 superscript 12 baseline 158 15 superscript 8 baseline 154 15 superscript 4 baseline 153

Question

GPT-4o mini · Answer

To simplify the expression $ (156)^2 $ using the Power Rule of Exponents, we can apply the rule that states $ (a^m)^n = a^{m \cdot n} $. In your expression, $ 156^2 $ can be rewritten as: $$ (15^1 \cdot 6^1)^2 = 15^{2 \cdot 1} \cdot 6^{2 \cdot 1} = 15^2 \cdot 6^2 $$ However, the expression $ (156)^2 $ represents $ 156 $ raised to the power of $ 2 $, which simply equals $ 156^2 $ is not reducible in the given terms. None of the provided options $ 1512 $, $ 15^{12} $, $ 15^{8} $, $ 15^{4} $, or $ 15^{3} $ seem to relate specifically to $ (156)^2 $ itself in direct exponentiation of $ 156 $. If we look at the options provided, perhaps you were supposed to consider a different base, or they may have been intended to express a result that corresponds better to a transformation of the numerical values (like calculating directly). Is there a specific aspect of the calculation you want to clarify?

...hi.... · Answer

that's all I can give you just figure it out and choose one of the options

GPT-4o mini · Answer

I apologize for any confusion. To find an expression equivalent to $ (156)^2 $ in terms of its components, we first break it down:

We know that $ 156 $ can be factored.

$ 156 = 15 \times 10 + 6 $ (which doesn't easily fit into exponentiation).

However, if we were simply squaring the base number represented entirely by its factors, we might mistakenly interpret it in components.

Assuming you're asking for how the term appears in a simplified form or equivalence:

Let's calculate $ (156)^2 $: \[ 156^2 = 24336 \]

Now looking at the choices:

1512 - Incorrect.
15$^{12}$ - Incorrect.
15$^{8}$ - Incorrect.
15$^{4}$ - Incorrect.
15$^{3}$ - Incorrect.

None of these results will yield $ 156^2 $ correctly.

However, if we look closely:

$ 156 = 15 \times 10 + 6$ appears hard to substrate directly based on the available powers.

If I choose the most logical corresponding option based only on appearance, but not actual equivalence in true exponentiation—I'll choose $ 15^4 $.

This is more of an 'educational guess' since actual mappings are tricky here without more context.

Please confirm or provide if there's an additional way to relate the powers—math clarification may be warranted.

...hi.... · Answer

How were the Spartans able to focus on military training and fighting? (1 point) Responses The slaves grew their food for them. The slaves grew their food for them. The women at home grew their food for them. The women at home grew their food for them. The children grew food for them. The children grew food for them. The men grew the food when they were not fighting

GPT-4o mini · Answer

The correct response is: **The slaves grew their food for them.** In ancient Sparta, the society relied heavily on a system of serfdom known as helotage, where the helots, who were essentially enslaved people, worked the land and provided the necessary agricultural produce. This allowed Spartan citizens (the male warriors) to focus mainly on military training and preparation for warfare.

...hi.... · Answer

Which of the following show a difference between Sparta and Athens? Select the three correct answers. (1 point) Responses In Sparta, children received more traditional schooling, while in Athens children were sent to military school. In Sparta, children received more traditional schooling, while in Athens children were sent to military school. In Sparta, men did not publicly share their opinions, while in Athens men spoke their minds in political forums. In Sparta, men did not publicly share their opinions, while in Athens men spoke their minds in political forums. In Sparta, conquest was used to get resources, while in Athens they used trade to get what they needed. In Sparta, conquest was used to get resources, while in Athens they used trade to get what they needed. In Sparta, women had more freedom while in Athens, women were not allowed to participate in democracy. In Sparta, women had more freedom while in Athens, women were not allowed to participate in democracy. In Sparta, slaves received military training while in Athens, slaves participated in the government. In Sparta, slaves received military training while in Athens, slaves participated in the government. Skip to navigation

GPT-4o mini · Answer

The three correct answers that show a difference between Sparta and Athens are:

In Sparta, men did not publicly share their opinions, while in Athens men spoke their minds in political forums.
In Sparta, conquest was used to get resources, while in Athens they used trade to get what they needed.
In Sparta, women had more freedom while in Athens, women were not allowed to participate in democracy.

These statements effectively highlight the contrasting societal structures and values of Sparta and Athens.

...hi.... · Answer

What is a sequence of events in a narrative?(1 point) Responses the events that take place in a story the events that take place in a story a series of events that lead to a conflict in a story a series of events that lead to a conflict in a story dialogue connected to events in a story dialogue connected to events in a story the order in which events occur the order in which events occur

GPT-4o mini · Answer

The correct response is: **the order in which events occur.** In a narrative, the sequence of events refers to how the events are organized and presented over time, which is crucial for the development of the story.

...hi.... · Answer

Which of the following is developed to be equivalent to 185 ?(1 point) Responses 85 8 superscript 5 baseline 8−5 8 superscript negative 5 baseline 815 8 Start Fraction 1 over 5 End Fraction 5−8

GPT-4o mini · Answer

To determine which of the options is equivalent to $ 185 $, we need to interpret the notation correctly.

Let's analyze the options:

85 - This is just the number 85, not equivalent to $ 185 $.
8 superscript 5 (i.e., $ 8^5 $) - This equals $ 32768 $, which is not equivalent to $ 185 $.
8^(-5) - This equals $ \frac{1}{8^5} $, which is a very small number and not equivalent to $ 185 $.
815 - This can be interpreted as the number 815, which is not equivalent to $ 185 $.
8 Start Fraction 1 over 5 End Fraction - This would be $ 8 \times \frac{1}{5} = \frac{8}{5} $, which is $ 1.6 $, not equivalent to $ 185 $.
5^(-8) - This equals $ \frac{1}{5^8} $, which is again a very small number, not equivalent to $ 185 $.

None of the provided options are equivalent to $ 185 $. Please double-check the options, as it appears all provided responses are significantly different from $ 185 $.