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What is the simplified form of the expression:

1/10a10h-5 - 1/10a-5
a. 5h/50ah-25
b. 10h/50ah-25
c. 10ah-25/50ah-25
d. 5/50ah-25

1 Answer

3 votes

Final answer:

The simplification of the expression involves rules for dividing terms with the same base by subtracting exponents and dividing coefficients, but without clearer options or a correct expression, a precise answer cannot be given.

Step-by-step explanation:

The simplified form of the expression 1/10a10h-5 - 1/10a-5h, is not entirely clear from the options provided, as there seems to be a mix-up in the structure of the expression.

However, let's discuss how to approach simplifying expressions involving exponents and division. When you divide terms with the same base, you subtract the exponents. For example, am/an = am-n. Similarly, when you have coefficients, you would divide them as regular numbers.

If the expression was supposed to be (1/10)a10h-5 - (1/10)a-5h, then each term would need to be simplified separately by applying rules for exponents and possibly combining like terms if applicable. Unfortunately, without clearer options or a correct expression, a precise answer cannot be provided.

As an extra example of simplifying expressions with exponents, consider the expression (0.00675 * (0.15)m) / (0.00300 * (0.10)m). Here you would cancel equivalent terms and subtract the exponents of (0.15)m and (0.10)m while dividing the coefficients 0.00675 and 0.00300.

You can also convert numbers into scientific notation when dealing with very large or very small numbers, and the same rules of exponent arithmetic apply, including the fact that units can cancel when they are the same on the numerator and denominator.

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