Print preview
Worksheet Exponent Rules
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
Simplify the given expression and enter your answer with positive exponents.
\(\displaystyle{ {\frac{4j^{6}k^{7}}{j^{-1}}} }\)
Simplified answer:
12.
Simplify the given expression and enter your answer with positive exponents.
\(\displaystyle{{\left(2x^{7}y\right)^{2}}}\)
Simplified answer:
13.
Simplify the given expression and enter your answer with positive exponents.
\(\displaystyle{ {\left(w^{0}x^{8}\right)^{-4}} }\)
Simplified answer:
14.
(a) Simplify \(\displaystyle{\frac{x^{9}}{x^{14}}}\) and write your answer without using negative exponents.
(b) Simplify \(\displaystyle{\frac{x^{9}}{x^{-14}}}\) and write your answer without using negative exponents.
(c) Simplify \(\displaystyle{\frac{x^{-9}}{x^{14}}}\) and write your answer without using negative exponents.
(d) Simplify \(\displaystyle{\frac{x^{-9}}{x^{-14}}}\) and write your answer without using negative exponents.
Hint.
Solution.
Part (a):
\(\frac{x^{9} }{ x^{14}} = x^{(9-14)} = x^{-5} = \frac{1}{x^{5}}\)
Part (b):
\(\frac{x^{9} }{ x^{-14}} = x^{(9-(-14))} = x^{23}\)
Part (c):
\(\frac{x^{-9} }{ x^{14}} = x^{(-9-14)} = x^{-23} = \frac{1}{x^{23}}\)
Part (d):
\(\frac{x^{-9} }{ x^{-14}} = x^{(-9-(-14))} = x^{5}\)
