Simplify 27^2/3 x 64^1/3 ÷ ( 1/36 ) ^-1/2 - (-2)^0
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Explanation:
First, we can use these rule for exponents to modify this expression:
x
a
×
b
=
(
x
a
)
b
27
2
3
=
27
1
3
×
2
=
(
27
1
3
)
2
We can now use rule of roots/exponents to modify the expression within parenthesis:
x
1
n
=
n
√
x
(
27
1
3
)
2
=
(
3
√
27
)
2
=
(
3
)
2
=
(
3
×
3
)
=
9
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