Question

What is the simplified form of the expression?

Answer 1

Exponent laws; do you know them?

Answer 2

Unfamiliar

Answer 3

im assuming a...

Answer 4

Thanks

Answer 5

\[k^3(k^{\frac{7}{5}})^{-5}\]

\[(x^n)^m = x^{n*m}\]

\[k^3(k^\frac{7}{5})^{-5} = k^3k^{\frac{7}{5}*(-5)} = k^3k^{-7} = k^{3-7} = k^{-4} =\frac{1}{k^4}\]

Answer 6

here's a set of exponent laws that are handy:

\[x^n*x^m = x^{n+m}\]\[x^n/x^m = x^{n-m}\]\[(ab)^n = a^nb^n\]\[x^{-n} = 1/x^n\]

Answer 7

Thank you very much

Answer 8

practice them until they are automatic!