Answer:
(2^2)(z^7)
Explanation:
The quotient rule states that if two powers have the same base and are on opposite places of a fraction (one is on the numerator, the other on the denominator), you subtract the exponents.
First looking at the powers with the bases of 2, 2^8 is the numerator and 2^6 is the denominator. When we subtract 8-6 we get 2, so 2^8/2^6 would simplify to 2^2.
Then, we look at the powers with the base of z. z^10 is the numerator and z^3 is the denominator. When we subtract 10-3 we get 7, so z^10/z^3 would simplify to z^7.
I hope this helps! Please comment if you have any questions:)
Let
be the statement that
Check to see that
holds for
:
Now suppose that
is true, and use that assumption to show that
must also be true. When
, you have
and so
is also true, thus proving the statement is true for all
.
Your answer should be $45.50, you can also look up the answer on google if you need to
7 ∫ cos(πx) dx
7 [ sin(πx)/π ]
7/π (sin(π/2) - sin(0))
7/π (1 - 0)
7/π ~ 7/3
