Question

evaluate 8 to the power of -3 divided by 8to the power of -5

Answer 1

Answer:

8^2 (64)

Step-by-step explanation:

8^-3 ÷ 8^-5

1/8^3 ÷ 1/8^5

1/8^3 × 8^5

= 8^2(64)

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Answer 2

★SOLUTION:-

$\implies \: 8 {}^{ - 3} \div 8 {}^{ - 5}$

can we be written as

$\implies \: \frac{8 {}^{ - 3} }{8 {}^{ - 5} }$

we know that

$\implies \pink{ \frac{a {}^{ - m} }{a {}^{ - n} } =a {}^{ - m} \times a {}^{n } } \\ \\ \\ \implies \pink{a {}^{m} \times a {}^{n} = a {}^{m + n} }$

$\implies \: 8 {}^{ - 3} \times 8 {}^{5}$

$\implies \: 8 {}^{5 - 3} \\ \\ \implies \: 8 {}^{2} \\ \\ \implies \: 64$

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