What is the quotient of 2^3÷2^1 using the Quotient Rule of Exponents?
The quotient rule of exponents states that when dividing two powers with the same base, you subtract the exponents.
So, according to the quotient rule of exponents, the quotient of 2^3 ÷ 2^1 is equal to 2^(3-1) = 2^2.
Therefore, 2^3 ÷ 2^1 = 2^2.
whole number?
Yes, the quotient 2^2 is a whole number. Specifically, 2^2 = 4, which is an integer.
To find the quotient using the Quotient Rule of Exponents, you subtract the exponents.
The Quotient Rule of Exponents states that for any non-zero real numbers a, b, and integers m, n (where b is not equal to 0), if a^m ÷ a^n, then a^(m-n).
In this case, we have 2^3 ÷ 2^1.
According to the Quotient Rule of Exponents, we subtract the exponents, so 3 - 1 = 2.
Therefore, the quotient of 2^3 ÷ 2^1 is 2^2.
To find the quotient of two exponent expressions using the Quotient Rule of Exponents, you need to subtract the exponents of the same base.
The Quotient Rule of Exponents states that for any non-zero numbers a and b, and any integers m and n:
a^m ÷ a^n = a^(m - n)
In this case, you have 2^3 ÷ 2^1.
According to the Quotient Rule of Exponents, you subtract the exponents 3 - 1:
2^3 ÷ 2^1 = 2^(3 - 1)
Simplifying the subtraction in the exponent:
2^(3 - 1) = 2^2
Therefore, the quotient of 2^3 ÷ 2^1 using the Quotient Rule of Exponents is 2^2, which equals 4.