Respuesta :
I already answered this question. This is the answer:
Answer: the property that tells to multiply the powers to simplify is called power of a power.
Justification:
Property:
[tex] (a^{b} )^{c}= a^{b.c} [/tex]
Some examples will help you to understand and remember better:
[tex](3^2)^4=3^{2.4}=3^8=6561 (10^{3})^{2}=10^{3.2}=10^{6}=1,000,000 (5^{4})^5=5^{5.4}=5^{20}=95,367,431,640,625 [/tex]
Remember a power raised to other power is a property named power of a power and tells that you keep the base and multiply the powers.
Answer: the property that tells to multiply the powers to simplify is called power of a power.
Justification:
Property:
[tex] (a^{b} )^{c}= a^{b.c} [/tex]
Some examples will help you to understand and remember better:
[tex](3^2)^4=3^{2.4}=3^8=6561 (10^{3})^{2}=10^{3.2}=10^{6}=1,000,000 (5^{4})^5=5^{5.4}=5^{20}=95,367,431,640,625 [/tex]
Remember a power raised to other power is a property named power of a power and tells that you keep the base and multiply the powers.