Question

simplify the following expressions:
(5²)³×(3²)⁴
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
(10)⁵ₓ(3)⁵

Answer 1

Step-by-step explanation:

$\frac{ { ({5}^{2} )}^{3} \times {( {3}^{2} )}^{4} }{ {(10)}^{5} \times {(3)}^{5} } \\ = \frac{ {5}^{6} \times {3}^{8} }{ {(2 \times 5)}^{5} \times {3}^{5} } \\ = \frac{ {5}^{6} \times {3}^{8} }{ {2}^{5} \times {5}^{5} \times {3}^{5} } \\ = \frac{5 \times {3}^{3} }{ {2}^{5} } \\ = \frac{5 \times 27}{32} \\ = \frac{135}{32}$

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