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12. evaluate the expression $(11^{-2})(11^{0})$ type a response

Question

  1. evaluate the expression

$(11^{-2})(11^{0})$
type a response

Explanation:

Step1: Simplify the zero exponent

Any non-zero number to the power of 0 is 1, so $11^0 = 1$.

Step2: Simplify the negative exponent

A negative exponent means the reciprocal, so $11^{-2} = \frac{1}{11^2} = \frac{1}{121}$.

Step3: Multiply the two terms

Multiply the simplified values: $\frac{1}{121} \times 1 = \frac{1}{121}$.

Answer:

$\frac{1}{121}$