Question

simplify the following ​

Answer 1

Answer:

16

Step-by-step explanation:

WE WILL USE LAW OF EXPONENTS

2⁵*2⁸/2⁴*2⁵

=2(⁵+⁸)/2(⁴+⁵) (USING a^m*a^n=a^m+n)

= 2¹³/2⁹

=2(¹³-⁹)(USING a^m/a^n=a^m-n)

=2⁴

=16

Answer 2

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$⟹ \frac{ { {2}^{5} } \times {2}^{8} }{2{}^{4} \times {2}^{5} }$

$⟹ \frac{ { {32} } \times {2}^{8} }{2{}^{4} \times {2}^{5} }$

$⟹ \frac{ { {32} } \times {256} }{2{}^{4} \times {2}^{5} }$

$⟹ \frac{32 \times 256}{ { {16} \times {2}^{5} } }$

$⟹ \frac{32 \times 256}{ { {16} \times {32} } }$

$⟹ \frac{ 8192 }{ { {16} \times {32} } }$

$⟹ \frac{ 8192 }{ { { 512 } } }$

$⟹ 16$