Question
5. Write \( 10 \times 10 \times 10 \times 10 \times 10 \times 10 \) with an exponent. Explain how you decided what exponent to write.
Ask by Stanley Blake. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(10^6\)
Solution
To write \( 10 \times 10 \times 10 \times 10 \times 10 \times 10 \) with an exponent, we need to recognize that this expression represents the number 10 multiplied by itself a certain number of times.
In this case, we have the number 10 multiplied by itself 6 times. Therefore, we can express this as:
\[
10^6
\]
The exponent, which is 6, indicates how many times the base (which is 10) is multiplied by itself.
So, the final answer is:
\[
10^6
\]
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Extra Insights
The expression \( 10 \times 10 \times 10 \times 10 \times 10 \times 10 \) can be written with an exponent as \( 10^6 \). This is because we are multiplying the number 10 together six times. When converting multiplication into exponents, the base (in this case, 10) is written once and the number of times it is multiplied (which is 6) becomes the exponent. Exponents serve as a shortcut to indicate repeated multiplication, making it easier to work with large numbers or repeated calculations! Plus, it helps make math look sleek and sophisticated.