Question

simplify : 4⁵ x 9⁵ x X⁷/2³ x 3⁶ x X⁵​

Answer 1

Answer :

››› The expression is 5509980288x¹².

Given :

• 4⁵ × 9⁵ × x⁷/2³ × 3⁶ × x⁵.

To Find :

• Simplify the expression.

Solution :

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$\displaystyle{\tt{:\implies {4}^{5} \times {9}^{5} \times \frac{ {x}^{7} }{{2}^{3}} \times {3}^{6} \times {x}^{5} }}$

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$\displaystyle{\tt{:\implies {4}^{5} \times {9}^{5} \times \frac{ {x}^{7} }{{2}^{3}} \times {3}^{6} {x}^{5} }}$

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$\displaystyle{\tt{:\implies 1024 \times {9}^{5} \times \frac{ {x}^{7} }{{2}^{3}} \times {3}^{6} {x}^{5} }}$

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$\displaystyle{\tt{:\implies 1024 \times 59049 \times \frac{ {x}^{7} }{{2}^{3}} \times {3}^{6} {x}^{5} }}$

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$\displaystyle{\tt{:\implies 1024 \times 59049 \times \frac{ {x}^{7} }{8} \times {3}^{6} {x}^{5} }}$

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$\displaystyle{\tt{:\implies 1024 \times 59049 \times \frac{ {x}^{7} }{8} \times 729 {x}^{5} }}$

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$\displaystyle{\tt{:\implies \frac{1204 \times 59049 \times {x}^{7} \times 729 \times {x}^{5} }{8} }}$

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$\displaystyle{\tt{:\implies \frac{ \cancel{1204} \times 59049 \times {x}^{7} \times 729 \times {x}^{5} }{ \cancel{8}} }}$

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$\displaystyle{\tt{:\implies 128 \times 59049 \times {x}^{7} \times 729 \times {x}^{5} }}$

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$\displaystyle{\tt{:\implies 7558272 \times {x}^{7} \times 729 \times {x}^{5} }}$

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$\displaystyle{\tt{:\implies 7558272{x}^{7} \times 729{x}^{5} }}$

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$\displaystyle{\tt{:\implies 5509980288x^{7 + 5 } }}$

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$\displaystyle{\bf{:\implies \red{\boxed{ \blue{ \bf{ 5509980288^{12} }}}}}}$

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Hence, the expression is 5509980288x¹².