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Is the equation 7−4⋅7349√=7

true or false? Select the response that correctly answers the question and provides the appropriate justification.(1 point)
Responses

False. The answer should be negative since the exponents are negative.
False. The answer should be negative since the exponents are negative.

True, because the Quotient Property gives a final exponent of 1.
True, because the Quotient Property gives a final exponent of 1.

False. When applying the Quotient Property, the final exponent is not 1.
False. When applying the Quotient Property, the final exponent is not 1.

True, because the Product Property makes the numerator and the denominator equal.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To determine if the equation \( 7 - 4 \cdot 7349^{\sqrt{}} = 7 \) is true or false, let's simplify and analyze the left side of the equation.

1. Start with the equation: \( 7 - 4 \cdot 7349^{\sqrt{}} \).
2. The term \( 4 \cdot 7349^{\sqrt{}} \) can be simplified, but we need to understand what the expression \( 7349^{\sqrt{}} \) refers to. If \( \sqrt{} \) is not defined with a specific number, we cannot simplify it further.
3. Regardless of what \( \sqrt{} \) corresponds to (assuming it should be a number), \( 7349^{\text{some positive number}} \) will yield a positive result when multiplied by 4.
4. Therefore, \( 7 - 4 \cdot 7349^{\sqrt{}} \) will result in a number less than 7, as long as \( 4 \cdot 7349^{\sqrt{}} \) is positive.

Since we are subtracting a positive quantity from 7, the left side will not equal 7.

Thus, the correct answer is:

**False. When applying the Quotient Property, the final exponent is not 1.** (This option seems the most relevant to the breakdown, although the reasoning about the Quotient Property isn't clearly applicable here, the truth is that the left side does not equal the right side.)