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Simplify. Express your answer using a single exponent.\newline(w4)6(w^{4})^{6}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(w4)6(w^{4})^{6}
  1. Identify Rule: Identify the rule for exponentiation of a power.\newlineWhen raising a power to a power, we multiply the exponents.
  2. Apply Rule: Apply the exponentiation rule to (w4)6(w^4)^6. We multiply the exponents 44 and 66. (w4)6=w(4∗6)(w^4)^6 = w^{(4*6)}
  3. Perform Multiplication: Perform the multiplication of the exponents. w4×6=w24w^{4\times6} = w^{24}
  4. Check Errors: Check for any mathematical errors in the calculations.\newlineThere are no mathematical errors in the calculations.

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