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Apply the exponent rule ((a)/(b))ⁿ = (aⁿ)/(bⁿ) to the second term.

Mathematics

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Answer

64

Step-by-step solution

5 steps

  1. Apply the exponent rule (ab)n=anbn\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} to the second term.

    53×43535^3 \times \frac{4^3}{5^3}

  2. Rearrange the terms and simplify using the exponent rule aman=am−n\frac{a^m}{a^n} = a^{m-n}.

    5353×43\frac{5^3}{5^3} \times 4^3 53−3×435^{3-3} \times 4^3 50×435^0 \times 4^3

  3. Apply the exponent rule a0=1a^0 = 1.

    1×431 \times 4^3

  4. Calculate 434^3.

    43=4×4×4=644^3 = 4 \times 4 \times 4 = 64

  5. Multiply the results.

    1×64=641 \times 64 = 64

    The final answer is 64.

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