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In Mathematics / Middle School | 2014-04-17

How do you write the expression without a fraction bar:

\[ \frac{a^7}{a^{10}} \]

Asked by kpartain2001

Answer (3)

The expression 'a to the seventh divided by a to the tenth' without a fraction bar is 'a raised to the power of negative three' (a^-3), by using the law that states when dividing like bases you subtract the exponents.
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Answered by sadiaraheel09 | 2024-06-18

To write the expression a to the seventh divided by a to the tenth without a fraction bar, you use the rules of exponents for division. When you divide like bases, you subtract the exponents: a7 ÷ a10 = a7-10 = a-3 . This results in a to the negative third power, which is the same as 1 divided by a3 when written without negative exponents.

Answered by Qwship | 2024-06-18

The expression a 10 a 7 ​ can be simplified to a − 3 by subtracting the exponent in the denominator from the exponent in the numerator, following the laws of exponents. This means a 7 divided by a 10 equals a 7 − 10 which simplifies to a − 3 .
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Answered by sadiaraheel09 | 2025-01-09