Randkhaznadar Randkhaznadar
  • 23-10-2020
  • Mathematics
contestada

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

Respuesta :

oliviazoecarpenter
oliviazoecarpenter oliviazoecarpenter
  • 23-10-2020

Answer:

True

Step-by-step explanation:

Hope this helps x

Answer Link
AlexanderTheGreat41 AlexanderTheGreat41
  • 23-10-2020

True

Consider two numbers a and b

Their product will be [tex]\sf a \times b = (ab) [/tex]

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

That is, [tex]\sf (ab)^m [/tex]

By rules of indices,

[tex]\sf (ab)^m = a^m \times b^m [/tex]

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

Hence the given statement is true.

Answer Link

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