Final answer:
To simplify 1/x⁻⁷, rewrite it as x⁷, as negative exponents indicate the base should be taken as a reciprocal.To simplify 1/x⁻⁷, we can rewrite the expression using the rule for negative exponents. A negative exponent flips the construction to the denominator, so x⁻⁷ becomes 1/x⁷. Therefore, the simplified expression is x⁷.
Step-by-step explanation:
To simplify 1/x⁻· we can use the properties of exponents. According to the rules for negative exponents, having a negative exponent means that the base should be taken as a reciprocal. Thus, x⁻· means 1 divided by x raised to the power of 7, or in other words, x· in the numerator.
So, 1/x⁻· equals x7.This follows the power rule of exponents, which indicates that an exponential term with a negative exponent can be rewritten as the reciprocal with a positive exponent. Therefore, our final answer in 20 words is: To simplify 1/x⁻·, rewrite it as x7.To simplify 1/x⁻⁷, we can rewrite the expression using the rule for negative exponents. A negative exponent flips the construction to the denominator, so x⁻⁷ becomes 1/x⁷. Therefore, the simplified expression is x⁷.