What is the result of (2^3)^3 using the power rule of exponents
Using the power rule of exponents, which states that (a^b)^c = a^(b*c), we can solve the expression (2^3)^3 as follows:
(2^3)^3 = 2^(3*3)
= 2^9
= 512
So, the result of (2^3)^3 is 512.
To simplify the expression (2^3)^3 using the power rule of exponents, we multiply the exponents.
First, let's simplify the expression inside the parentheses: 2^3 = 2 * 2 * 2 = 8.
Now, substitute the simplified base (8) into the expression: (8)^3.
Using the power rule of exponents, we multiply the exponents: 8^3 = 8 * 8 * 8 = 512.
Therefore, the result of (2^3)^3 using the power rule of exponents is 512.
To find the result of the expression (2^3)^3 using the power rule of exponents, we need to follow the rule which states that when a power is raised to another power, we multiply the exponents.
First, let's simplify the expression (2^3)^3 step by step:
Step 1: Evaluate the expression inside the parentheses first, according to the power rule.
2^3 = 2 * 2 * 2 = 8
Step 2: Now, raise 8 to the power of 3 using the power rule.
8^3 = 8 * 8 * 8 = 512
Therefore, the result of (2^3)^3 using the power rule of exponents is 512.