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marysya [2.9K]
3 years ago
12

I NEED HELP PLEASE ASAP !

Mathematics
2 answers:
In-s [12.5K]3 years ago
4 0

The first rule you need to know is

(a^b)^c=a^{bc}

So, you have

\dfrac{(x^{25})^{-6}}{(x^{-3})^{48}}=\dfrac{x^{25\cdot(-6)}}{x^{-3\cdot 48}}=\dfrac{x^{-150}}{x^{-144}}

The second rule you need to know is

\dfrac{a^b}{a^c}=a^{b-c}

So, you have

\dfrac{x^{-150}}{x^{-144}}=x^{-150-(-144)}=x^{-150+144}=x^{-6}

Romashka [77]3 years ago
4 0

Answer:

- 6

Step-by-step explanation:

(x²⁵)⁻⁶/(x⁻³)⁴⁸ =

= (x²⁵ˣ⁻⁶)/(x⁻³ˣ⁴⁸)

= (x ⁻¹⁵⁰)/(x ⁻¹⁴⁴)

= x ⁻¹⁵⁰ ⁻⁽⁻¹⁴⁴⁾

= x ⁻¹⁵⁰⁺¹⁴⁴

= x ⁻⁶

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