Which of the following is an equivalent expression to 7325−4 with only positive exponents, generated by applying the Property of Negative Integer Exponents?(1 point)
Responses
25473
73⋅254
73254
2547−3
The correct answer is: 73⋅254
To generate an equivalent expression with only positive exponents, we can use the Property of Negative Integer Exponents, which states that for any nonzero number x and any negative integer n, x^n is equal to 1 divided by x^|n|.
In this case, the given expression is 7325−4. To convert the negative exponent to a positive exponent, we apply the property and rewrite the expression as:
7325−4 = 1 / 7325^|−4|
Now, we evaluate 7325^|−4|, which is the same as evaluating 7325^4:
7325^4 = 7325 * 7325 * 7325 * 7325
Therefore, the equivalent expression with only positive exponents is:
1 / (7325 * 7325 * 7325 * 7325)
However, the given options don't seem to match this expression. None of the provided answers is correct.
To find an equivalent expression to 7325−4 with only positive exponents, we can apply the Property of Negative Exponents.
The Property of Negative Exponents states that any term with a negative exponent can be rewritten as its reciprocal with a positive exponent.
In this case, we have 7325−4. To apply the Property of Negative Exponents, we can rewrite it as:
1 / 73254
Therefore, the equivalent expression with only positive exponents is 73254.
So, the correct answer is 73254.