%5E2-without-exponents.jpeg "(4a^4)^2 Without Exponents")
Simplifying (4a^4)^2 Without Exponents
This expression involves exponents, but we can simplify it without using them. Here's how:
Understanding the Problem
- (4a^4)^2 means we're multiplying the entire expression 4a^4 by itself twice.
Applying the Rules
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Distribute the exponent: Since we're squaring the entire expression, we need to apply the exponent to both the coefficient (4) and the variable (a^4).
- (4)^2 = 16
- (a^4)^2 = a^(4*2) = a^8
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Combine the results: Now we have our simplified expression.
- (4a^4)^2 = 16a^8
Conclusion
Therefore, (4a^4)^2 simplified without exponents is 16a^8.