Question

Solve
a) 3⁵×10⁵×25/5⁷×6³
b) 2×3⁴×2⁵/9×4²
Please answer correct with explanation because it's my exam tomorrow and I am so confused at this topic... Guys please help me​

Answer 1

Answer:

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Step-by-step explanation:

$\frac{3^5 \times 10^5 \times 25}{5^7 \times 6^5} \\ \\=\frac{3^5 \times 10^5 \times 25}{5^7 \times 3^5 \times 2^5} \\ \\ =\frac{10^5 \times 25 }{5^7 \times 2^5} \\ \\MBS \: \: by \: \: 2² \: \: to \: \: dominator \: \: and \: \: nominator \\ \\ =\frac{10^5 \times 25 \times 2^2 }{ 5^7 \times 2^5 \times 2^2 } \\ \\ = \frac{10^5 \times 5^2 \times 2^2}{5^7 \times 2^7} \\ \\ =\frac{10^5 \times10^2}{10^7} \\ \\ =\frac{10^7}{10^7} \\ \\ = 1$

$\\ = = = = = = = = = = = =$

$\frac{ 2×3 {}^{4} ×2 {}^{5}}{ 9×4 {}^{2} } \\ \\ \frac{ {2}^{ 1+ 5} \times {3}^{4} }{ {3}^{2} \times ( {2}^{2} {)}^{2} } \\ \\ \frac{ {2}^{6}\times {3}^{4} }{{3}^{2} \times {2}^{4}} \\ \\ {2}^{6 - 4} \times 3 {}^{4 - 2} \\ \\ {2}^{2} \times {3}^{2} \\ \\ 4 \times 9 \\ \\ 36$