Exercise 66 Page 27

To simplify the given expression, we will use the Properties of Exponents. For this exercise, we will begin by distributing both exponents. Then we will try to simplify the expression. Let's do it!

3 ( -6n^4 )^2+ ( -2n^2 )^2

PowProd

(a * b)^m=a^m* b^m

3* (-6)^2 * ( n^4 )^2+ (-2)^2 * ( n^2 )^2

NegBaseToPosPow

(- a)^2 = a^2

3* 6^2 * ( n^4 )^2+ 2^2 * ( n^2 )^2

PowPow

(a^m)^n=a^(m* n)

3* 6^2 * n^8+ 2^2 * n^4

CalcPow

Calculate power

3* 36 * n^8+ 4 * n^4

Multiply

Multiply

108n^8 + 4n^4