Question

question 15 of 45
for all nonzero values of ( a ), the expression ( \frac{a^2 a^4}{a^6} ) is equal to:
a ( 0 )
b ( 1 )
c ( a^2 )
d ( a_{12} )

Explanation:

Step1: Apply exponent rules for multiplication

When multiplying exponents with the same base, we add the exponents. So, \(a^{2} \times a^{4} = a^{2 + 4} = a^{6}\).

Step2: Simplify the fraction

Now we have the expression \(\frac{a^{6}}{a^{6}}\). When dividing exponents with the same base, we subtract the exponents. So, \(a^{6 - 6} = a^{0}\). And for any non - zero \(a\), \(a^{0}=1\).

Answer:

B. 1