Which applies the power of a power rule to simplify the expression 8^12 3
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Answer:
Option (b) is correct.
[tex](8^{12})^3=8^{12\times 3}=8^{36}[/tex]
Step-by-step explanation:
Given : the expression [tex](8^{12})^3[/tex]
We have to simplify the given expression and choose the correct from the given options.
Consider the expression [tex](8^{12})^3[/tex]
Using property of exponents,
[tex]\left(a^b\right)^c=a^{b\times c}[/tex]
We have,
[tex](8^{12})^3=8^{12\times 3}=8^{36}[/tex]
Thus, Option (b) is correct.
[tex](8^{12})^3=8^{12\times 3}=8^{36}[/tex]