Question

find the simplified value of : 5^0×4^-1×8^-2/3​

Answer 1

Step-by-step explanation:

5^0×4^-1×8^-2/3

= 1 × 1/4 × 2^(- 3× 2/3)

= 1 × 1/4 × 1/2 ^2

= 1 × 1/4 × 1/4

= 1/16

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Answer 2

Step-by-step explanation:

$5 {}^{0} \times 4 {}^{ - 1} \times 8 {}^{ \frac{ - 2}{3} } \\ 1 \times \frac{1}{4} \times ( \frac{1}{2} ) {}^{ \frac{2}{3} } \\ \frac{1}{4} \times \frac{1}{(2) {}^{ \frac{2}{3} } } \\ \frac{1}{(2) {}^{2} } \times \frac{1}{(2) {}^{ \frac{2}{3} } } \\ \frac{1}{(2) {}^{2 + \frac{2}{3} } } \\ \frac{1}{(2) {}^{ \frac{8}{3} } }$

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