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Leno4ka [110]
2 years ago
10

Please Hurry ...Which expression is equivalent to

Mathematics
1 answer:
swat322 years ago
8 0

Answer:

\huge\boxed{\sf \frac{160rs^5}{t^6}}

Step-by-step explanation:

\sf 5r^6t^4 ( \frac{4r^3s^tt^4}{2r^4st^6} ) ^5

Using rule of exponents \sf a^m/a^n = a^{m-n}

\sf 5r^6t^4 ( 2 r^{3-4} s^{2-1}t^{4-6})^5\\5r^6t^4(2r^{-1}st^{-2})^5\\5r^6t^4 * 32 r^{-5}s^5t^{-10}

Using rule of exponents \sf a^m*a^n = a^{m+n}

\sf 160 r^{6-5}s^5t^{4-10}

\sf 160 rs^5 t^{-6}

To equalize the negative sign, we'll move t to the denominator

\sf \frac{160rs^5}{t^6}

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