Evaluate (-4/9)*(3^(-5/3))+(2/9)(3^(-4/3))

Math
(-49)⋅(3-53)+(29)(3-43)
Simplify each term.
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Rewrite the expression using the negative exponent rule b-n=1bn.
-49⋅1353+(29)(3-43)
Multiply -49⋅1353.
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Multiply 1353 and 49.
-4353⋅9+(29)(3-43)
Rewrite 9 as 32.
-4353⋅32+(29)(3-43)
Use the power rule aman=am+n to combine exponents.
-4353+2+(29)(3-43)
To write 2 as a fraction with a common denominator, multiply by 33.
-4353+2⋅33+(29)(3-43)
Combine 2 and 33.
-4353+2⋅33+(29)(3-43)
Combine the numerators over the common denominator.
-435+2⋅33+(29)(3-43)
Simplify the numerator.
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Multiply 2 by 3.
-435+63+(29)(3-43)
Add 5 and 6.
-43113+(29)(3-43)
-43113+(29)(3-43)
-43113+(29)(3-43)
Rewrite the expression using the negative exponent rule b-n=1bn.
-43113+29⋅1343
Multiply 29⋅1343.
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Multiply 29 and 1343.
-43113+29⋅343
Rewrite 9 as 32.
-43113+232⋅343
Use the power rule aman=am+n to combine exponents.
-43113+232+43
To write 2 as a fraction with a common denominator, multiply by 33.
-43113+232⋅33+43
Combine 2 and 33.
-43113+232⋅33+43
Combine the numerators over the common denominator.
-43113+232⋅3+43
Simplify the numerator.
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Multiply 2 by 3.
-43113+236+43
Add 6 and 4.
-43113+23103
-43113+23103
-43113+23103
-43113+23103
To write 23103 as a fraction with a common denominator, multiply by 313313.
-43113+23103⋅313313
Write each expression with a common denominator of 3113, by multiplying each by an appropriate factor of 1.
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Multiply 23103 and 313313.
-43113+2⋅3133103⋅313
Multiply 3103 by 313 by adding the exponents.
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Use the power rule aman=am+n to combine exponents.
-43113+2⋅3133103+13
Combine the numerators over the common denominator.
-43113+2⋅313310+13
Add 10 and 1.
-43113+2⋅3133113
-43113+2⋅3133113
-43113+2⋅3133113
Combine the numerators over the common denominator.
-4+2⋅3133113
Rewrite -4 as -1(4).
-1(4)+2⋅3133113
Factor -1 out of 2⋅313.
-1(4)-(-2⋅313)3113
Factor -1 out of -1(4)-(-2⋅313).
-1(4-2⋅313)3113
Move the negative in front of the fraction.
-4-2⋅3133113
The result can be shown in multiple forms.
Exact Form:
-4-2⋅3133113
Decimal Form:
-0.01986210…
Evaluate (-4/9)*(3^(-5/3))+(2/9)(3^(-4/3))

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