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Simplify : [2^(9)×3^(5)×5^(4))/(2^(7)×3^(4)×5^(3)]

Simplify : \newline29×35×5427×34×53\frac{2^{9}\times3^{5}\times5^{4}}{2^{7}\times3^{4}\times5^{3}}

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Full solution

Q. Simplify : \newline29×35×5427×34×53\frac{2^{9}\times3^{5}\times5^{4}}{2^{7}\times3^{4}\times5^{3}}
  1. Simplify using exponents: Use the properties of exponents to simplify the expression by subtracting the exponents of like bases in the numerator and denominator.\newline(29−7×35−4×54−3)(2^{9-7}\times3^{5-4}\times5^{4-3})
  2. Subtract exponents: Perform the subtraction for each base.\newline(22×31×51)(2^{2}\times3^{1}\times5^{1})
  3. Calculate base values: Calculate the value for each base raised to its respective power.\newline(4×3×5)(4\times3\times5)
  4. Multiply for final answer: Multiply the values together to get the final answer. 4×3×5=604\times3\times5 = 60

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