Question

Simplify this expression. Assume that x is nonzero.
x^−11•x^2

Answer 1

Explanation:

I'm assuming that you meant: x^(-11)*x^2. Here there's a common base: x.

Then this expression becomes x^(-11*2)*x^2. We need only combine (add up) the exponents of x: x^(-11*2)*x^2 = x^(-11 + 2) = x^(-9). Use of parentheses as shown is important here.

Note that x^(-9) is the same as

1

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x^9