Power Rule of Exponents Practice
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Use the Power Rule of Exponents to simplify the expression (6^2)^4. (1 point)
To simplify the expression (6^2)^4 using the Power Rule of Exponents, we need to multiply the exponents together.
Starting with the inner exponent, 6^2 means 6 raised to the power of 2. This is equal to 6 * 6 = 36.
Now, we can rewrite the expression as (36)^4.
Using the Power Rule of Exponents again, we multiply the exponent 4 by the exponent 4: 36^4 = 36 * 36 * 36 * 36.
Calculating this, we find that (6^2)^4 is equal to 1,679,616.
Therefore, (6^2)^4 simplifies to 1,679,616.
To simplify the expression (6^2)^4 using the Power Rule of Exponents, we need to raise the base (6^2) to the power of 4.
The Power Rule states that when raising an exponent to another exponent, we need to multiply the exponents.
So, (6^2)^4 becomes 6^(2*4).
Simplifying further, 2*4 equals 8, so the expression becomes 6^8.
Therefore, the simplified expression is 6^8.