What is the value of the expression (−3^2/3^3)2 when it is simplified? Enter your answer as the correct value.
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the numerical expression:
(-3^2 / 3^3) 2
Determine the value of the expression.
Solution:
Take the square of the numerator, and the cube of the denominator first before dividing both numbers. Noticed that the numerator is negative, but since it will be squared the answer will be positive. A common rule of mathematics states that in multiplying or dividing two numbers with the same sign, the value will become positive, hence if the signs are opposite, the value will be negative.
= (-3^2 / 3^3) 2
= (9 / 27) 2
= 18/27
The simplified value of the given expression is equal to ⅔