48^33 ÷ 50^0=
3 answers
48^33 ÷ 50^0 = 48^33 ÷ 1 = 48^33
32^10 ÷ 48^7=
To solve this problem, we must first simplify the expression by using the properties of exponents.
32^10 ÷ 48^7 can be written as (2^5)^10 ÷ (2^4 * 3)^7.
Using the property (a^m)^n = a^(m*n), we can simplify further:
(2^5)^10 = 2^(5*10) = 2^50
(2^4 * 3)^7 = (2^4)^7 * 3^7 = 2^(4*7) * 3^7 = 2^28 * 3^7
Substituting these values back into the expression, we get:
32^10 ÷ 48^7 = 2^50 ÷ (2^28 * 3^7)
Using the property a^m ÷ a^n = a^(m-n), we can simplify further:
2^50 ÷ (2^28 * 3^7) = 2^(50 - 28) * 3^7
= 2^22 * 3^7
So, the simplified form of 32^10 ÷ 48^7 is 2^22 * 3^7.
32^10 ÷ 48^7 can be written as (2^5)^10 ÷ (2^4 * 3)^7.
Using the property (a^m)^n = a^(m*n), we can simplify further:
(2^5)^10 = 2^(5*10) = 2^50
(2^4 * 3)^7 = (2^4)^7 * 3^7 = 2^(4*7) * 3^7 = 2^28 * 3^7
Substituting these values back into the expression, we get:
32^10 ÷ 48^7 = 2^50 ÷ (2^28 * 3^7)
Using the property a^m ÷ a^n = a^(m-n), we can simplify further:
2^50 ÷ (2^28 * 3^7) = 2^(50 - 28) * 3^7
= 2^22 * 3^7
So, the simplified form of 32^10 ÷ 48^7 is 2^22 * 3^7.