contestada

Which expression is equivalent to (m−3n−4)−3?

m9n12
m−9n−12
m−6n−7
1 over the quantity m raised to the sixth power times n raised to the seventh power end quantity

Respuesta :

sqdancefan

Answer:

  (a)  m^9·n^12

Step-by-step explanation:

You want the simplified form of (m^-3·n^-4)^-3.

Rules of exponents

The relevant rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

Application

Applying these rules to the given expression, we get ...

  [tex](m^{-3}n^{-4})^{-3}=(m^{-3})^{-3}(n^{-4})^{-3}=m^{(-3)(-3)}n^{(-4)(-3)}=\boxed{m^9n^{12}}[/tex]

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Additional comment

When an expression is not typeset and exponents are in plain text, the exponents need to be identified using the caret (^) symbol.

tpineros

Answer: 

(a)  m^9·n^12

Step-by-step explanation:

You want the simplified form of (m^-3·n^-4)^-3.

Rules of exponents

The relevant rules of exponents are ...  

(ab)^c = (a^c)(b^c)  (a^b)^c = a^(bc)

Application Applying these rules to the given expression, we get ... 

Additional comment

When an expression is not typeset and exponents are in plain text, the exponents need to be identified using the caret (^) symbol.

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