Evaluate each expression for x = 4 and give answers in simplest form. Show your work
Accepted Solution
A:
Answer:a) [tex]6x^{-2} = \frac{3}{8} [/tex] b) [tex]5x^{-3} = \frac{5}{64} [/tex] Step-by-step explanation:The value given for x is 41) The given expression is : [tex]6x^{-2}[/tex]By solving the negative exponent, we get [tex]6x^{-2} = \frac{6}{x^{2} }[/tex]Here, substitute x =4, [tex]\frac{6}{x^{2} } = \frac{6}{4 \times 4 } = \frac{6}{16}[/tex]or, [tex]6x^{-2} = \frac{3}{8} [/tex] 2) The given expression is : [tex]5x^{-3}[/tex]By solving the negative exponent, we get [tex]5x^{-3} = \frac{5}{x^{3} }[/tex]Here, substitute x =4, [tex]\frac{5}{x^{3} } = \frac{5}{4 \times 4 \times 4 } = \frac{5}{64}[/tex]or, [tex]5x^{-3} = \frac{5}{64} [/tex]