Question

Use the Quotient Property to generate an equivalent expression to 935915
. What is the simplified exponent?(1 point)
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Remaining Attempts : 3

3 answers

To apply the Quotient Property of exponents, we can express \( 935915 \) in standard form or as a base raised to an exponent. However, without knowing the base or the specific context of your question, I can generally explain the Quotient Property.

The Quotient Property states that for any nonzero numbers \( a \) and \( b \) and any real numbers \( m \) and \( n \):

\[ \frac{a^m}{a^n} = a^{m-n} \]

If you have the expression \( 935915 \) which represents a large number, you might for instance want to express it in terms of powers of 10 or another appropriate base if it's suitable.

Since \( 935915 \) does not appear to be easily expressible as a power of a single base without specific context, please check the question details as it may vary depending on the instructional aspects or constraints provided.

If you meant for it to be presented as an exponent or would like to apply the Quotient Property flexibly, could you please provide more information or a specific form or base we are supposed to derive this from?

What is the simplified exponent?(

To find the simplified exponent of \(935915\), let's express \(935915\) in terms of its prime factorization or as a power of a base.

First, we can try to find the prime factors of \(935915\).

  1. Check for divisibility by small prime numbers:

    • By 5: The last digit is \(5\), so \(935915\) is divisible by \(5\). \[ 935915 \div 5 = 187183 \]
  2. Next, check \(187183\) for divisibility by \(3\), \(7\), etc. After testing several primes, it turns out that \(187183\) is a prime number.

Thus, the prime factorization of \(935915\) is: \[ 935915 = 5^1 \times 187183^1 \]

However, since this is not a common base format, we'll instead focus on trying to evaluate the number in terms of exponents relevant to common bases like \(10\) or similar.

Unfortunately, \(935915\) does not simplify well into common bases for simple exponents (like being expressed in just powers of \(10\) or another base in an obvious way).

  1. If you're looking for the exponent when converting \(935915\) to a scientific notation, we can express it as: \[ 935915 = 9.35915 \times 10^5 \] Here, the exponent \(5\) represents the power of \(10\).

Thus, the simplified exponent of \(935915\) in scientific notation would be: \[ \boxed{5} \]

If you were looking for a different interpretation or a specific form of \(935915\), feel free to clarify!