Apply the exponent rule ((a)/(b))^n = (a^n)/(b^n) to the second term.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Apply the exponent rule $\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}$ to the second term.
$$ 5^3 \times \frac{4^3}{5^3} $$
Step 2: Rearrange the terms and simplify using the exponent rule $\frac{a^m}{a^n} = a^{m-n}$.
$$ \frac{5^3}{5^3} \times 4^3 $$
$$ 5^{3-3} \times 4^3 $$
$$ 5^0 \times 4^3 $$
Step 3: Apply the exponent rule $a^0 = 1$.
$$ 1 \times 4^3 $$
Step 4: Calculate $4^3$.
$$ 4^3 = 4 \times 4 \times 4 = 64 $$
Step 5: Multiply the results.
$$ 1 \times 64 = 64 $$
The final answer is $\boxed{64}$.
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