Q:

In simplified exponential notation, the expression x ³ · x -4 · x = _____ 1/x0 1

Accepted Solution

A:
ANSWER1EXPLANATIONWe want to simplify:[tex] {x}^{3} \bullet \: {x}^{ - 4} \bullet \: x[/tex]Recall that:[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]We use this property of exponents to get:[tex] {x}^{3} \bullet \: {x}^{ - 4} \bullet \: x = {x}^{3 + - 4 + 1} [/tex][tex]{x}^{3} \bullet \: {x}^{ - 4} \bullet \: x = {x}^{0} [/tex]Any non-zero number to the exponent of zero is 1.[tex]{x}^{3} \bullet \: {x}^{ - 4} \bullet \: x = 1[/tex]