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Simplify. Express your answer using a single exponent.\newline(v7)8(v^{7})^{8}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(v7)8(v^{7})^{8}
  1. Exponentiation Explanation: (v7)8(v^7)^8 means we're raising vv to the 77th power and then raising the result to the 88th power.
  2. Apply Exponent Rule: To simplify, we multiply the exponents because (va)b=va∗b(v^a)^b = v^{a*b}. So, (v7)8=v7∗8(v^7)^8 = v^{7*8}.
  3. Calculate Result: Now, calculate 7×87\times8 which is 5656. So, (v7)8=v56(v^7)^8 = v^{56}.
  4. Final Answer: There's no more simplification needed, so v56v^{56} is the final answer.

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