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Simplify. Express your answer as the given base raised to a single exponent.\newline(113)8(11^3)^8

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Full solution

Q. Simplify. Express your answer as the given base raised to a single exponent.\newline(113)8(11^3)^8
  1. Identify base and exponents: Identify the base and the exponents in the expression.\newlineIn (113)8(11^3)^8, 1111 is the base raised to the exponents 33 and 88.\newlineBase: 1111\newlineExponents: 33, 88
  2. Apply power of power property: Apply the power of a power property to simplify (113)8(11^3)^8.(113)8=11(3∗8)(11^3)^8 = 11^{(3*8)}=1124= 11^{24}
  3. Confirm simplification: Confirm the simplification. 112411^{24} means 1111 multiplied by itself 2424 times, which is correctly simplified using the power of a power rule.

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