Question

Evaluate (8^(-1)×5^3)/(2^(-4)).

Answer 1

HEY MATE HERE IS UR ANSWER

QUESTION TO EVALUATE

$\frac{{8}^{ - 1} \times {5}^{3} }{ {2}^{ - 4} }$
THIS IS EQUAL TO

$\frac{ \frac{1}{8} \times 125 }{ \frac{1}{ {2}^{4} } }$

NOW THIS IS EQUAL TO

$\frac{ \frac{1}{8} \times 125 \times {2}^{4} }{1}$
THAT IS

$\frac{1}{8} \times 125 \times 16$


THAT IS

$\frac{1}{8} \times 2000$

=

$\frac{2000}{8} \: = \: 250$
HENCE THE VALUE IS 250

THEREFORE ANSWER = 250

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Answer 2

8^−1 × 5^3 ÷ 2^-4

= 2^−3 × 5^3 ÷ 2^-4

= 2^−3+4 × 5^3 [∵a^x × b^y = a^x+y]

= 2^1 × 5^3

= 2×125

= 250Ans.

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