Algebraic expressions (Part 2): ExponentsDIVIDING POWERSSimplify the following expression:(4n4)216n2(4๐4)216๐2INSTRUCTIONS: If necessary:Use the ^ symbol to type an exponent. For example for n2๐2 type n^2.Use brackets to put multiple factors in the denominator. For example, to get 12n12๐ type 1/(2 n).Answer: 2 attempts remaining
Question
Algebraic expressions (Part 2): ExponentsDIVIDING POWERSSimplify the following expression:(4n4)216n2(4๐4)216๐2INSTRUCTIONS: If necessary:Use the ^ symbol to type an exponent. For example for n2๐2 type n^2.Use brackets to put multiple factors in the denominator. For example, to get 12n12๐ type 1/(2 n).Answer: 2 attempts remaining
Solution
The given expression is (4n^4) / 216n^2.
Step 1: Break down the numbers and the variables separately.
For the numbers, we have 4 / 216. Simplifying this, we get 1 / 54.
For the variables, we have n^4 / n^2. Using the rule of exponents which states that a^m / a^n = a^(m-n), we get n^(4-2) = n^2.
Step 2: Combine the simplified numbers and variables.
So, the simplified form of the given expression is (1/54) * n^2.
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