(2^3)^2 simplified using the power rule of exponents
Using the power rule of exponents, we multiply the exponents when raising a power to a power. Therefore, we have:
(2^3)^2 = 2^(3*2) = 2^6
To simplify the expression (2^3)^2 using the power rule of exponents, you multiply the exponents together.
First, simplify the inner exponent by raising 2 to the power of 3:
2^3 = 2 × 2 × 2 = 8
Now rewrite the expression as:
(8)^2
Using the power rule of exponents, raise 8 to the power of 2:
8^2 = 8 × 8 = 64
Therefore, the simplified expression is 64.
To simplify the expression (2^3)^2 using the power rule of exponents, we can follow these steps:
Step 1: Simplify the exponent within the parentheses first.
Inside the parentheses, we have 2 raised to the power of 3, which is equal to 2 x 2 x 2 = 8. Therefore, (2^3) = 8.
Step 2: Apply the power rule of exponents.
According to the power rule of exponents, when you have an exponent raised to another exponent, you multiply the exponents.
In this case, we have 8 raised to the power of 2. Multiplying the exponents, we get 8^2 = 8 x 8 = 64.
Therefore, (2^3)^2 is equal to 64.