Q. Evaluate the expression for s=−16 and t=12. Simplify your answer.st+t=____
Identify and Substitute: Identify the expression and substitute the given values for s and t. Substitute s=−16 and t=12 into the expression st+t. Expression: (−16)12+12
Simplify Fraction: Simplify the fraction(−16)12. (−16)12 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4. Simplified fraction: (−16÷4)12÷4=(−4)3
Add to t: Add the simplified fraction to t.Now we add (−4)3 to 12.Calculation: (−4)3+12Since 12 is the same as 112, we can write this as:(−4)3+112
Find Common Denominator: Find a common denominator to add the fractions.The common denominator for −4 and 1 is −4.Rewrite 112 with the common denominator:112=(−4)12×(−4)=(−4)−48Now add the two fractions:(−4)3+(−4)−48
Perform Addition: Perform the addition of the fractions.Now that we have a common denominator, we can add the numerators:(3+(−48))/(−4)Calculation: (−45)/(−4)
Simplify Result: Simplify the result.Since both the numerator and the denominator are negative, the negatives cancel out:(−45)/(−4)=45/4
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