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Simplify:

(9x^(4))^(2)
Answer:

Simplify:\newline(9x4)2 \left(9 x^{4}\right)^{2} \newlineAnswer:

Full solution

Q. Simplify:\newline(9x4)2 \left(9 x^{4}\right)^{2} \newlineAnswer:
  1. Apply Power Rule: We have the expression: 9x(4)9x^{(4)}^{(22)}. According to the power of a power rule, when you raise a power to another power, you multiply the exponents. In this case, we have an exponent of 44 being raised to the power of 22.
  2. Calculate Numerical Coefficient: We apply the power of a power rule to both the numerical coefficient and the variable part. For the numerical coefficient 99, we have 929^2. For the variable part x4x^{4}, we have (x4)2(x^{4})^2.
  3. Calculate Variable Part: Calculating 929^2 gives us 8181. For the variable part, we multiply the exponents: 4×2=84 \times 2 = 8. So, (x4)2(x^{4})^2 becomes x8x^{8}.
  4. Combine Numerical and Variable Parts: Combining the numerical and variable parts, we get the final simplified expression: 81x881x^{8}.

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