evaluate ( f^{3}+11 g - 4 h ) when ( f = 3 ), ( g = 2 ) and ( h = 7 ).
evaluate ( f^{3}+11 g - 4 h ) when ( f = 3 ), ( g = 2 ) and ( h = 7 ).
Answer
Explanation:
Step1: Substitute the values
Substitute (f = 3), (g = 2), and (h = 7) into the expression (f^{3}+11g - 4h). We get (3^{3}+11\times2-4\times7).
Step2: Calculate the powers
Calculate (3^{3}). Using the formula (a^{n}=\underbrace{a\times a\times\cdots\times a}_{n\text{ times}}), (3^{3}=3\times3\times3 = 27). The expression becomes (27+11\times2 - 4\times7).
Step3: Perform multiplications
Calculate (11\times2=22) and (4\times7 = 28). The expression is now (27 + 22-28).
Step4: Perform additions and subtractions
First, (27+22=49). Then (49-28 = 21).
Answer:
(21)