%5E2-simplified.jpeg "(7^6)^2 Simplified")
Simplifying (7^6)^2
In this article, we will simplify the expression (7^6)^2.
Understanding Exponents
Before we dive into simplifying the expression, let's review the rules of exponents. Exponents are a shorthand way of writing repeated multiplication of a number. For example, 2^3 means 2 multiplied by itself 3 times, or 2 × 2 × 2.
The Rule of Exponents
One of the most important rules of exponents is the power of a power rule, which states that:
(a^m)^n = a^(m × n)
This rule tells us that when we raise a power to another power, we multiply the exponents.
Simplifying (7^6)^2
Now, let's apply this rule to our expression (7^6)^2. We can rewrite it as:
7^(6 × 2)
Using the rule of exponents, we multiply the exponents 6 and 2, which gives us:
7^12
So, the simplified form of (7^6)^2 is 7^12.
Conclusion
In this article, we learned how to simplify the expression (7^6)^2 using the rule of exponents. By applying the power of a power rule, we were able to simplify the expression to 7^12.
