Question

Which expression is equivalent to 4 power to 6 times 4 power to -8

Answer 1

Answer:

1st one

Step-by-step explanation:

(4^6)(4^-8)

= (4*4*4*4*4*4)*($\frac{1}{4*4*4*4*4*4*4*4}$)

= 1/4*4

=1/4^2

Answer 2

Answer:

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

Step-by-step explanation:

This is the answer because:

1) 4 to the power of 6 times 4 to the power of -8 equals to 1/16

2) $\frac{1}{4^{2} }$ is also equal to 1/16 because 4 squared equals 16, and then the fraction form is 1/16; therefore, the answer is $\frac{1}{4^{2} }$

Hope this helps!