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)
Responses
True. When the bases are multiplied, the exponents are also multiplied.
True. When the bases are multiplied, the exponents are also multiplied.
False, 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.
False, because the exponents should be added rather than multiplied.
In the given equation, the expression (8–√4)−24⋅(8–√)16 contains square roots which are represented by exponents. When multiplying the bases (8 and √16), the exponents should be added, not multiplied.
False, because the exponents should be added rather than multiplied.
The expression (8–√4) can be simplified to (8–2), which is equal to 6. Similarly, (√16) can be simplified to 4.
Substituting these values into the equation, we get:
(6) - 24 * (6) = 8 - 48
Simplifying further, we have:
6 - 144 = -40
which is not equal to 8 - 48. Hence, the equation is false.