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To raise a product to a power raise each factor to the power and multiply the results. Is it true or false?

2 Answers

6 votes

Answer:

True

Step-by-step explanation:

Hope this helps x

User Dgn
by
4.8k points
2 votes

True

Consider two numbers a and b

Their product will be
\sf a * b = (ab)

Suppose I want to raise this product to a power, say m

That is,
\sf (ab)^m

By rules of indices,


\sf (ab)^m = a^m * b^m

So, we have to raise the individual factors of the product to the power and multiply the results.

Hence the given statement is true.

User Sujatha Girijala
by
4.7k points