Q:

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]