Simplifying Expression with Rational Exponents
Simplify each of the following expressions involving rational exponents. Write the exponents as whole numbers or reduced fractions. Assume that all variables represent positive numbers.
Original Equation
Reduced Equation
x
1
4
x
1
8
=
\displaystyle {x}^{{\frac{{1}}{{4}}}}{x}^{{\frac{{1}}{{{8}}}}}=
x
4
1
x
8
1
=
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Question 6 Part 1 of 4
y
12
10
y
9
10
=
\displaystyle \frac{{y}^{{\frac{{{12}}}{{10}}}}}{{y}^{{\frac{{{9}}}{{10}}}}}=
y
10
9
y
10
12
=
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Question 6 Part 2 of 4
(
t
5
12
)
15
9
=
\displaystyle {\left({t}^{{\frac{{5}}{{12}}}}\right)}^{{\frac{{15}}{{9}}}}=
(
t
12
5
)
9
15
=
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Question 6 Part 3 of 4
(
x
6
4
x
3
4
)
4
6
=
\displaystyle {\left(\frac{{x}^{{\frac{{6}}{{4}}}}}{{x}^{{\frac{{3}}{{4}}}}}\right)}^{{\frac{{4}}{{6}}}}=
(
x
4
3
x
4
6
)
6
4
=
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Question 6 Part 4 of 4
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