Question

Which expression is equivalent to 4^6 ⋅ 4^−8? 1 over 4 to the 2nd power 1 over 4 to the 14th power 42 414

Answer 1

Answer:

$(\frac{1}{4})^{2}$

Step-by-step explanation:

$4^{6}.4^{-8} = 4^{-2} add exponents since numbers have the same base =[tex]\frac{1}{4^{2} }$ using exponent rules, the sign of the exponent changes when you take it to the denominator

Answer 2

$4^6*4^-^8 = 4^6^+^-^8=4^-^2= \frac{1}{4^2} = \frac{1}{16}$