Video: Writing a Numerical Expression as an Exponent

What is 4/11 × 4/11 × 4/11 × 4/11 × 4/11 × 4/11 × 4/11?

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Video Transcript

What is four elevenths times four elevenths times four elevenths times four elevenths times four elevenths times four elevenths times four elevenths?

Here we can see we are multiplying fractions. And we’re multiplying the exact same fraction to itself. So let’s imagine something else, 𝑥 times 𝑥. We know that is equal to 𝑥 squared because there are two of them. And 𝑥 times 𝑥 times 𝑥 would be equal to 𝑥 cubed because there are three of them.

So looking at our question, there are one, two, three, four, five, six, seven. There are seven four elevenths. So we need to take four elevenths and raise it to the seventh power. So four elevenths to the seventh power is our final answer.

However, there may be a question where they would like us to evaluate this a little bit more. Take four to the seventh power and eleven to the seventh power, maybe reduce. But for this question, this is just fine. Four elevenths to the seventh power, that is our final answer.

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