Question

is the equation (8–√4)−24×(8–√)16=8−48 true or false? Select the response that correctly answers the question and provides the appropriate justification.(1 point)ResponsesFalse, because the exponents should be added rather than multiplied.False, because the exponents should be added rather than multiplied.False, because the Negative Exponent Rule should be applied.False, because the Negative Exponent Rule should be applied.True, but the equation can be simplified further.True, but the equation can be simplified further.True. When the bases are multiplied, the exponents are also multiplied.

Answer 1

False, because the exponents should be added rather than multiplied.

Reason: 8 − √4 = 8 − 2 = 6. Using the product rule for exponents, (6)^{−24} × (6)^{16} = 6^{−24+16} = 6^{−8} = 1/6^8, which is not equal to 8^{−48}.