Question

by what number should (-4)^5 be divided so that the quotatient may be equal to 4^-2​

Answer 1

Answer:

Step-by-step explanation:

Let x be divided by (-4)^5.

To find, the number = ?

According to question,

\dfrac{(-4)^5}{x}=(-4)^3

⇒ x=\dfrac{(-4)^5}{(-4)^3}

⇒ x={(-4)^{5-3}

Using the identity,

\dfrac{a^m}{a^n}=a^{m-n}

⇒x={(-4)^{2}

⇒ x = {(-4)^{2} or 16

Hence, the number should be divided by {(-4)^{2} or 16.

Step-by-step explanation:

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