i have a question
-
Write as a power of 5
5 to the power of 3 * 5 * 5 to the power of 4
can you please give good instructions on how to do this please
No calculator allowed.
Thanks
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
a^n * a^m = a^(n+m)
5^3 * 5 * 5^4 = 5^(3+1+4) = 5^8
(5 = 5^1)
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
5 to the power of 8
basically
5^3(5)(5^4) is saying:
5(5)(5)(5)(5)(5)(5)(5)
which equals
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)
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
Comments
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
a^n * a^m = a^(n+m)
5^3 * 5 * 5^4 = 5^(3+1+4) = 5^8
(5 = 5^1)
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
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)
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