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Worksheet Exponent Rules
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Simplify the given expression and enter your answer with positive exponents.
\(\displaystyle{ {\frac{10j^{9}k^{2}}{j^{-5}}} }\)
Simplified answer:
12.
Simplify the given expression and enter your answer with positive exponents.
\(\displaystyle{{\left(2x^{10}y^{2}\right)^{6}}}\)
Simplified answer:
13.
Simplify the given expression and enter your answer with positive exponents.
\(\displaystyle{ {\left(w^{0}x^{1}\right)^{-1}} }\)
Simplified answer:
14.
(a) Simplify \(\displaystyle{\frac{c^{6}}{c^{9}}}\) and write your answer without using negative exponents.
(b) Simplify \(\displaystyle{\frac{c^{6}}{c^{-9}}}\) and write your answer without using negative exponents.
(c) Simplify \(\displaystyle{\frac{c^{-6}}{c^{9}}}\) and write your answer without using negative exponents.
(d) Simplify \(\displaystyle{\frac{c^{-6}}{c^{-9}}}\) and write your answer without using negative exponents.
Hint.
Solution.
Part (a):
\(\frac{c^{6} }{ c^{9}} = c^{(6-9)} = c^{-3} = \frac{1}{c^{3}}\)
Part (b):
\(\frac{c^{6} }{ c^{-9}} = c^{(6-(-9))} = c^{15}\)
Part (c):
\(\frac{c^{-6} }{ c^{9}} = c^{(-6-9)} = c^{-15} = \frac{1}{c^{15}}\)
Part (d):
\(\frac{c^{-6} }{ c^{-9}} = c^{(-6-(-9))} = c^{3}\)
