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Solnce55 [7]
3 years ago
7

Can someone help me out please, thank you.

Mathematics
1 answer:
Nutka1998 [239]3 years ago
5 0

Here are a few rules about exponents you should know:

  1. Multiplying exponents of the same base: x^m*x^n=x^{m+n}
  2. Dividing exponents of the same base: \frac{x^m}{x^n}=x^{m-n}
  3. Powering a power to a power: (x^m)^n=x^{m*n}
  4. Converting a negative exponent into a positive one: x^{-m}=\frac{1}{x^m};\frac{1}{x^{-m}}=x^m

Firstly, multiply the y bases: \frac{z^5}{(-y^{-4}y^{-1}x^3)^{-3}}=\frac{z^5}{(-y^{-4+-1}x^3)^{-3}}=\frac{z^5}{(-y^{-5}x^3)^{-3}}

Next, solve the power: \frac{z^5}{(-y^{-5}x^3)^{-3}}=\frac{z^5}{-y^{-5*-3}x^{3*-3}}=\frac{z^5}{-y^{15}x^{-9}}

Finally, convert the negative exponent into a positive one and <u>your final answer will be: -\frac{z^5x^9}{y^{15}}</u>

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