Write as a power of 5?

Question

i have a question

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Write as a power of 5

5 to the power of 3 * 5 * 5 to the power of 4

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can you please give good instructions on how to do this please
No calculator allowed.
Thanks

Answer 1

You can use the ^ symbol to represent "to the power of":

5^3 x 5 x 5^4

When you multiply numbers with the same base, you can *add* the exponents.

3 + 1 + 4 = 8

(Remember that 5 is the same as 5^1)

So this is equivalent to:
5^8

Answer 2

a^n * a^m = a^(n+m)

5^3 * 5 * 5^4 = 5^(3+1+4) = 5^8

(5 = 5^1)

Answer 3

5 to the power of 3 = 5 * 5 * 5
5 to the power of 4 = 5 * 5 * 5 * 5

so, 5 to the power of 3 * 5 * 5 to the power of 4 is:

(5 * 5 * 5) * 5 * (5 * 5 * 5 * 5)

or, 5 to the power of 8

Answer 4

5 to the power of 8

basically
5^3(5)(5^4) is saying:

5(5)(5)(5)(5)(5)(5)(5)

which equals

5^8

you can also go by how they teach it in the book. when you add the same bases with different exponents, you add the exponents

x^a (x^b)= x^(a+b)

Answer 5

is this what you ask: (5^3)*5*(5^4)

(in math it is very critical to ba able to express yourself very clearly)

If this is so then (5^3)*5*(5^4) = (5^3)*(5^1)*(5^4) =
5^(3+1+4) = 5^8