Question
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Which of the following expressions is equivalent to the one shown below?

A.
B.
C.
D.

Ask by Gibson Parsons. in the United States
Jan 31,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The equivalent expression is .

Solution

To determine which expression is equivalent to , we can use the power of a power property in exponents, which states:
Applying this property to the given expression:
Therefore, the correct equivalent expression is:
B.

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Extra Insights

To simplify , we use the power of a power property, which states that . Thus, we have:
So, the correct choice is B. .
Now, did you know that exponents were first introduced to the world by French mathematician René Descartes in the 17th century? He used them in his work to make complex calculations simpler, paving the way for modern algebra!
Also, in real-world applications, exponents help in calculating things like exponential growth, population studies, and even in finance to determine compound interest. When you invest money, it’s the power of those interests compounding over time that really makes your money grow!

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