Question

Is the equation 7−4×7349√=7true or false? Select the response that correctly answers the question and provides the appropriate justification.(1 point)ResponsesFalse. 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

False. Interpret the left side as 7^(−4) × 7^(3/49). Using the Product Property, add exponents:

7^(−4) × 7^(3/49) = 7^(−4 + 3/49) = 7^((-196 + 3)/49) = 7^(−193/49),

which is not 7^1. Therefore the equation is false.