SOLUTION: I have been struggling with this math problem for awhile now and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank You!! Powers of Monomi

Question 130954This question is from textbook Algebra Structure and Method
: I have been struggling with this math problem for awhile now and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank You!!
Powers of Monomials
Find and simplify (a) the sum and (b) the product of the given monomials
(a^2)^6,(-2a^4)^3 This question is from textbook Algebra Structure and Method

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First let's simplify the given monomials individually

Start with the first expression.

Multiply the outer exponent with the inner exponent. Remember

Now multiply the exponents

So simplifies to .

--------------------

Start with the second expression. Note: really looks like

Now distribute the outer exponent 3 to each exponent in the parenthesis. Remember

Now multiply the exponents

Now raise -2 to the 3rd power to get -8

So simplifies to .

a)

Now let's find the sum. To do that, simply add the two simplified expressions together

Combine like terms

So and add to . In other words,

b)

Now let's find the product. To do that, simply multiply the two simplified expressions together

Add the exponents

Simplify

So and multiply to . In other words,

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