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Anonymous

# PLEASE HELP!!! Simplify...?

Assume that the variable represents a nonzero real number.

(x^8 / x^6)^-4

Thank you!!!!

### 4 Answers

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- Anonymous9 years agoFavorite Answer
x^(-8)

- Anonymous9 years ago
Here are some rules to remember:

x^y * x^z means x^(y+z). Add the exponents.

x^y / x^z means x^(y-z). Subtract the exponents.

(x^y)^z means x^(y*z). Multiply the exponents.

x^-y means 1/(x^y). Place the number below 1 and make the exponent positive.

x^(y/z) means the z root of x^y.

(x^8 / x^6)^-4

Subtract the exponents inside the parenthesis:

(x^(8-6))^-4

(x^2)^-4

Multiply the exponents:

x^(2(-4))

x^-8

Make the exponent positive:

1/(x^8)

Answer: 1 / x^8

- Anonymous9 years ago
isElementOfR(X)=true;

X != 0;

(X^8 / X^6)^-4 = (X^2)^-4 = X^-6= 1/X^6

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