could you put steps on how you get the answer.

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

# 2 Answers

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

5^{3} • 5^{4}

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:

5^{7} , 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:

5^{3} = 125 and 5^{4} = 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 5^{3} X 5^{4}.

If correct, then when you multiply values with exponents, the exponents add: 5^{3} X 5^{4} = 5^{3+4} = 5^{7}