find the value of (-3/5)¯² ×(3/5)²
With explanation
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Answered by
0
Answer:
Answer:
-125
Step-by-step explanation:
As per the question,
We have to find the value of [(-5)³]³ ÷ [(-5)²]³
Now,
[(-5)³]³ ÷ [(-5)²]³can also be written as
\frac{((-5)^{3})^{3}}{((-5)^{2})^{3}}
((−5)
2
)
3
((−5)
3
)
3
As we know that according to power of a power property of exponent, power can be simply multiplied. that is,
(x^{a})^{b} =x^{a\times b} = x^{ab}(x
a
)
b
=x
a×b
=x
ab
Therefore,
\frac{((-5)^{3})^{3}}{((-5)^{2})^{3}}
((−5)
2
)
3
((−5)
3
)
3
\frac{(-5)^{9}}{(-5)^{6}}
(−5)
6
(−5)
9
{(-5)^{3}
= -125
Hence, the required value is -125
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Answer:
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