Question

[5–⁶×5³]–³÷[5²×5–⁵]³= ?​

Answer 1

Answer:

125

Step-by-step explanation:

125

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