1/15
1/3 chance of getting elf, 1/5 chance of getting magic so the chance of getting both is 1/3x1/5=1/15
Step-by-step explanation:
4⁵ × 4^-7 / 4^-2
it is important to understand that a negative exponent means 1/...
a^-n = 1/(a^n)
in that sense we have therefore
4⁵ × 1/4⁷ × 4² (as (1/ 1/a^n) = a^n)
4⁵ × 4² × 1/4⁷ = 4⁷ × 1/4⁷ = 1
so, "1" is the fully simplified expression equal to the original expression.
I can’t see it it’s really blurry
Answer:
It is proved that is a solution of Ax=b.
Step-by-step explanation:
As given let w and p be a solution of Ax=b. Then,
and
Defining,
To show is a solution of Ax=b, we have to show . Then,
(By putting value of )
(By distributive law)
(Since w and p are solution of Ax=b)
Hence become a solution of the homogenous system Ax=b.
Since w and p are solution of Ax=b, and any linear combination of the solutions again a solution of Ax=b, this shows that every solution of Ax=b is of the form where is a solution of Ax=0.
Simplify the following:
3^2 v (3 x)^3
3^2 = 9:
9 v (3 x)^3
Multiply each exponent in 3 x by 3:
9 v×3^3 x^3
3^3 = 3×3^2:
9×3×3^2 v x^3
3^2 = 9:
9×3×9 v x^3
3×9 = 27:
9×27 v x^3
9×27 = 243:
Answer: 243 v x^3