Simplify (4^3*2)÷((6-4)^2)

Math
43⋅2÷(6-4)2
Rewrite the division as a fraction.
43⋅2(6-4)2
Simplify the numerator.
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Rewrite 4 as 22.
(22)3⋅2(6-4)2
Multiply the exponents in (22)3.
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Apply the power rule and multiply exponents, (am)n=amn.
22⋅3⋅2(6-4)2
Multiply 2 by 3.
26⋅2(6-4)2
26⋅2(6-4)2
Use the power rule aman=am+n to combine exponents.
26+1(6-4)2
Add 6 and 1.
27(6-4)2
27(6-4)2
Simplify the denominator.
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Subtract 4 from 6.
2722
Raise 2 to the power of 2.
274
274
Simplify the expression.
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Raise 2 to the power of 7.
1284
Divide 128 by 4.
32
32
Simplify (4^3*2)÷((6-4)^2)

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