Simplify.
x^-7•x^9•x^-3
Write your answer with a positive exponent only
x^-7 • x^9 • x^-3 = x^(-7 + 9 - 3)
= x^-1
To simplify the expression x^-7 • x^9 • x^-3, we can add the exponents of the x terms. This can be done because when we multiply two terms with the same base, we can add their exponents:
x^-7•x^9•x^-3 = x^(-7 + 9 - 3)
Simplifying further, we get:
x^(-7 + 9 - 3) = x^(-1)
So, the simplified expression with a positive exponent is x^-7 • x^9 • x^-3 = x^(-1).
To simplify the expression x^-7 • x^9 • x^-3, we can use the rule of adding exponents when multiplying like bases.
First, let's combine the x terms by adding the exponents:
x^-7 • x^9 • x^-3 = x^(-7 + 9 - 3)
Next, simplify the exponent inside the brackets:
= x^(-1)
Since the exponent is negative, we can rewrite it as a positive exponent by taking the reciprocal:
= 1/x^1
Finally, we can simplify the expression further by removing the exponent of 1:
= 1/x
Therefore, the expression x^-7 • x^9 • x^-3 simplifies to 1/x.