Question
Solve the equation
Solve for m
Solve for n
m=216×27n−1−1+33n+5
Evaluate
9n×32×3n−3327n×m×23=271
Simplify
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Evaluate
9n×32×3n−3327n×m×23
Rearrange the terms
9n×32×3n−2727nm×23
Calculate
9n×32×3n−27n−1m×23
Multiply
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Multiply the terms
9n×32×3n
Transform the expression
32n×32×3n
Multiply the terms with the same base by adding their exponents
32n+2+n
Add the terms
33n+2
33n+2−27n−1m×23
Multiply
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Multiply the terms
27n−1m×23
Rewrite the expression
27n−1m×8
Use the commutative property to reorder the terms
8×27n−1m
33n+2−8×27n−1m
33n+2−8×27n−1m=271
Move the expression to the right-hand side and change its sign
−8×27n−1m=271−33n+2
Subtract the terms
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Evaluate
271−33n+2
Reduce fractions to a common denominator
271−2733n+2×27
Write all numerators above the common denominator
271−33n+2×27
Multiply the terms
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Evaluate
33n+2×27
Rewrite the expression
33n+2×33
Rewrite the expression
33n+2+3
Calculate
33n+5
271−33n+5
−8×27n−1m=271−33n+5
Multiply by the reciprocal
−8×27n−1m(−8×27n−11)=271−33n+5×(−8×27n−11)
Multiply
m=271−33n+5×(−8×27n−11)
Solution
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Evaluate
271−33n+5×(−8×27n−11)
Multiplying or dividing an odd number of negative terms equals a negative
−271−33n+5×8×27n−11
To multiply the fractions,multiply the numerators and denominators separately
−27×8×27n−11−33n+5
Multiply the numbers
−216×27n−11−33n+5
Calculate the product
216×27n−1−1+33n+5
m=216×27n−1−1+33n+5
Show Solution
