%5E4(4u).jpeg "(2u)^4(4u)")
Simplifying the Expression (2u)^4(4u)
This article will walk through the process of simplifying the expression (2u)^4(4u).
Understanding the Exponents
- (2u)^4 means multiplying 2u by itself four times: (2u) * (2u) * (2u) * (2u)
- 4u is simply a coefficient of 4 multiplied by the variable u.
Applying the Rules of Exponents
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Distribute the exponent:
- (2u)^4 = 2^4 * u^4 = 16u^4
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Multiply the coefficients and variables:
- 16u^4 * 4u = (16 * 4) * (u^4 * u) = 64u^5
The Simplified Expression
Therefore, the simplified form of (2u)^4(4u) is 64u^5.