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which value is equivalent to, 5 to the third power multiplied by 5 to the fourth power?

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2 Answers

I'm assuming that you're phrasing the question this way:

53 • 54

Whenever you are multiplying identical phrases or components (i.e., numbers/constants or variables) with powers, merely add the powers to find the "final power."

In this case, 5 and 5 are identical constants/numbers, therefore you can add their powers, which gives you:
57 , which equals 5 • 5 • 5 • 5 • 5 • 5 • 5, which equals 78,125.

If you want to check your work, break down the powers into:
53 = 125 and 54 = 625, and then substitute:
125 • 625 = 78,125

Works out great!  Hope this helps!

If I understand the problem correctly, I think you're asking, what is 53 X 54.

If correct, then when you multiply values with exponents, the exponents add:  53 X 54 = 53+4 = 57