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Simplify. Express your answer using a single exponent.\newline(4w5)2(4w^5)^2

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(4w5)2(4w^5)^2
  1. Apply power to factors: Apply the power to each factor inside the parentheses.\newline(4w5)2=42×(w5)2(4w^5)^2 = 4^2 \times (w^5)^2
  2. Calculate 424^2: Calculate 424^2.\newline42=164^2 = 16
  3. Apply power rule for exponents: Apply the power rule for exponents (am)n=am∗n(a^m)^n = a^{m*n}.\newline(w5)2=w5∗2=w10(w^5)^2 = w^{5*2} = w^{10}
  4. Combine results: Combine the results from Step 22 and Step 33.\newline16×w10=16w1016 \times w^{10} = 16w^{10}

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