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Simplify. Express your answer using a single exponent.\newline(r5)7(r^{5})^{7}

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Q. Simplify. Express your answer using a single exponent.\newline(r5)7(r^{5})^{7}
  1. Identify Operation: Identify the operation needed for the exponents when raising a power to a power.\newlineWhen we raise a power to a power, we multiply the exponents. The expression (r5)7(r^5)^7 means that r5r^5 is being multiplied by itself 77 times.
  2. Apply Rule: Apply the exponent rule for raising a power to a power.\newlineegin{equation}(r^{55})^{77} = r^{(55 \times 77)}\newline ext{Now we multiply the exponents } 55 \text{ and } 77 \text{ to get the new exponent for } r.\newlineegin{equation}
  3. Perform Multiplication: Perform the multiplication of the exponents.\newliner5×7=r35r^{5 \times 7} = r^{35}\newlineWe have multiplied 55 by 77 to get 3535, which is the new exponent for rr.

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