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Let’s check out your problem:
Use the laws to re-write the following expression as a power of
x
x
x
:
\newline
x
x
x
x
\sqrt{x\sqrt{x\sqrt{x\sqrt{x}}}}
x
x
x
x
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Math Problems
Calculus
Find indefinite integrals using the substitution
Full solution
Q.
Use the laws to re-write the following expression as a power of
x
x
x
:
\newline
x
x
x
x
\sqrt{x\sqrt{x\sqrt{x\sqrt{x}}}}
x
x
x
x
Recognize nested square roots:
Simplify the expression by recognizing the pattern of nested square roots and powers of
x
x
x
.
Apply power of a power rule:
Apply the power of a power rule
(
a
m
)
n
=
a
m
∗
n
(a^{m})^{n} = a^{m*n}
(
a
m
)
n
=
a
m
∗
n
to simplify further.
Continue simplifying:
Continue applying the power of a power rule.
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Evaluate the integral.
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Evaluate the integral.
\newline
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