Question

simplify (-8)^5×(-8)^-3
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Answer 1

${\huge{\boxed{\mathcal{\pink{A}\blue{n}\orange{s}\pink{w}\blue{e}\orange{r}}}}}$

Formula :-

$\sf\pink { {a}^{m} x { a}^{ n} = {a}^{m + n}}$

$\sf {( - 8)}^{5} x {( - 8)}^{ - 3} \\ \\ \sf {( - 8)}^{5 + ( - 3)} = {( - 8)}^{5 - 3} \\ \\ \sf = {( - 8)}^{2} = ( \cancel - 8) \times ( \cancel- 8) = 64$

Answer 2

Answer:

64

Step-by-step explanation:

${a}^{m} + {a}^{n} = {a}^{m + n}$

Using the above formula,

(-8)^5×(-8)^-3 = (-8)^5-3

= (-8)²

= 64

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