Question
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क. Wrike \( 10 \times 10 \times 10 \times 10 \times 10 \times 10 \) with an exponent. Explain how you decided what exponent to write.

Ask by Rowe Bryant. in the United States
Feb 20,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\( 10^6 \)

Solution

To express the multiplication \( 10 \times 10 \times 10 \times 10 \times 10 \times 10 \) using an exponent, we need to determine how many times the base (which is 10) is being multiplied by itself. In this case, we have the number 10 multiplied by itself a total of 6 times. Therefore, we can represent this multiplication using an exponent as follows: \[ 10^6 \] Here, the exponent \( 6 \) indicates that the base \( 10 \) is used in the multiplication 6 times. So, the final expression is: \[ 10^6 \]

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The Deep Dive

जब आप \( 10 \times 10 \times 10 \times 10 \times 10 \times 10 \) को देखेंगे, तो आप पाएंगे कि इसमें 10 का गुणा 6 बार हुआ है। एक संक्षिप्त तरीके से इसे लिखने के लिए, आप इसे \( 10^6 \) के रूप में लिख सकते हैं। यहाँ "6" वह घातांक है जो बताता है कि संख्या 10 को कितनी बार अपने आप से गुणा किया जा रहा है। आपको इस तरह के गुणनफल को अधिक संक्षिप्त और समझने में आसान बनाना चाहिए। यही कारण है कि एक्स्पोनेंट का उपयोग हमारे लिए गणितीय अभिव्यक्ति को सरल करता है, जिससे आप इसे तेजी से समझ सकते हैं और गणनाएं कर सकते हैं।

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