Is the equation 7−4⋅7349√=7 true or false? Select the response that correctly answers the question and provides the appropriate justification.

Question

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 Quotient Property gives a final exponent of 1. True, because the Quotient Property gives a final exponent of 1. 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 Product Property makes the numerator and the denominator equal. True, because the Product Property makes the numerator and the denominator equal.

Answer 1

The equation \( 7 - 4 \cdot 7349^{\sqrt{}} = 7 \) can be simplified to check if it is true or false.

First, we can observe that the left-hand side can simplify to:

• If \( 7349^{\sqrt{}} \) is some term that is non-zero and given that it is multiplied by -4, this will likely result in a value that does not equal zero.

Thus, if we rewrite the equation:

\[ 7 - 4 \cdot \text{something} \neq 7 \]

This indicates that, barring the special case where \( 7349^{\sqrt{}} = 0 \), which is not possible since 7349 raised to any real power cannot be zero, the left-hand side will not simplify to 7.

Overall, because \( 4 \cdot 7349^{\sqrt{}} \) will contribute a negative value (since it is multiplied by -4), the overall expression will not equal 7.

The conclusion is:

False. The left-hand side simplifies to a value not equal to 7.