Answer:
Step-by-step explanation:
By the negative exponent rule, you have that:
By the exponents properties, you know that:
Therefore, you can rewrite the left side of the equation has following:
Descompose 32 and 8 into its prime factors:
Rewrite:
Then:
As the base are equal, then:
Solve for x:
Answers:
P(A) = 7/12
P(B) = 1/2
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Explanation:
To see how I calculated P(A), check out this link to this very similar question
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Now to calculate P(B)
If a number is divisible by 2, then the number is a multiple of 2.
In other words, the number is even.
Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.
Here's a further breakdown
Side note: We have nice symmetry going on.
There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.
P(B) = 18/36 = (1*18)/(2*18) = 1/2
