%5E2-simplified.jpeg "(7a^4)^2 Simplified")
Simplifying (7a^4)^2
Let's break down how to simplify the expression (7a^4)^2.
Understanding the Properties of Exponents
- Power of a Product: (ab)^n = a^n * b^n
- Power of a Power: (a^m)^n = a^(m*n)
Applying the Properties
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Apply the Power of a Product property: (7a^4)^2 = 7^2 * (a^4)^2
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Apply the Power of a Power property: 7^2 * (a^4)^2 = 7^2 * a^(4*2)
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Simplify: 7^2 * a^(4*2) = 49a^8