Can someone explain to me how to do this? :

8^2y+4 = 16^y+1

y = -4

Step-by-step explanation:

Assuming the problem is , it would be nice if we could convert both sides of this equation to the same base; that way, we could compare the exponents directly in an equation of their own. Fortunately, 8 and 16 are both powers of 2 -- and , we can rewrite the original equation by substituting those in:

When you have an exponent raised to another exponent, you multiply those exponents together, so we can simplify our equation by distributing a 3 in the left exponent and a 4 in the right:

With both of our bases the same, we can now simply compare their exponents directly to solve for y:

i will pick c put check it over to be sure

step-by-step explanation:

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.