roxa505 roxa505
  • 03-12-2019
  • Mathematics
contestada

Write the expression using a single exponent. (6^2)^7

Respuesta :

mberisso
mberisso mberisso
  • 03-12-2019

Answer:

[tex]6^{14}[/tex]

Step-by-step explanation:

Use the "Power Law" of exponents that tells us that when you have a base to a power "n" and all that raised to a power "m", it is the same as writing the original base to the single exponent which is the product of n time m:

[tex](b^n)^m=b^{n*m}[/tex]

therefore in your case, the base "b" is 6, the exponent "n" is 2, and the exponent "m" is 7. Then:

[tex](6^2)^7=6^{2*7}=6^{14}[/tex]

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