Question

which expression is equivalent to 12^0·12^7? 6^7·2^7 12^0 (12^1)^6 1/12^7

Explanation:

Step1: Use zero - exponent rule

Any non - zero number to the power of 0 is 1. So, $12^{0}=1$. Then $12^{0}\cdot12^{7}=1\times12^{7}=12^{7}$.

Step2: Simplify $6^{7}\cdot2^{7}$

By the product - of - powers rule $(ab)^n=a^n\cdot b^n$, $6^{7}\cdot2^{7}=(6\times2)^{7}=12^{7}$.

Step3: Analyze other options

$12^{0}=1
eq12^{7}$; $(12^{1})^{6}=12^{6}
eq12^{7}$; $\frac{1}{12^{7}} = 12^{- 7}
eq12^{7}$.

Answer:

$6^{7}\cdot2^{7}$