Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today :DD. I hope you are having a nice day.
So based on the question we need to do two steps, Rules of Exponents, and Solving. I'll go ahead and start with Exponential Rules first.
Rules of Exponents
The rules of exponents are simple, they boil down to a few things at this level of math:
+ To Multiply Exponents, we can add the Exponents of the Bases.
(Example: [tex]x^{2}*x^{3}=x^{5}[/tex])
+ To Divide Exponents, we need to subtract the Exponents of the Bases.
(Example: [tex]\frac{x^{5} }{x^3}=x^2[/tex])
Now that we know that, we can solve for the equation.
Solving
So, we need to solve for the blanks in this equation:
[tex]3^8*x^8=12^y[/tex]
**Where x and y are unknown.
So, first we know that for the multiplication of exponents, we need to add the exponent, so with that we know that it has to be 8 giving us our y.
Second of all, we know to multiple and solve for x we need to divide 12 by 3.
After doing that, and using basic math, we get x is equal to 4.
We can check our answers by inserting what we found into the equation:
[tex]3^8*4^8=12^{8}\\\\429981696=429981696[/tex]
Therefore, the answers are:
First blank is equal to 4, and the second blank is equal to 8.
We've checked our answers and they are correct!
Cheers!
