Answer:
y^2
Step-by-step explanation:
(y x y^1/3)^3/2 would be clearer if written as
(y*y^(1/3))^(3/2).
Because y^a*y^b = y^(a + b), the quantity inside the first set of parentheses becomes
y^(4/3)
and if we apply the power (3/2) to this result, we get:
4 3
(y^(4/3))^(3/2) = y^{ ----- * ----- ) = y^2
3 2
Due to length restrictions, we kindly invite to read the explanation of this question to learn more on power properties.
<h3>How to understand power properties</h3>
Herein we must explain some properties of power expressions with integer exponents. A power of the form aᵇ is a product of the form a × a × a × a × ... × a, where a is repeated b times. a and b are the base and the exponent of the power.
First, we proceed to demonstrate that a⁰ = a:
a⁰ Given
a¹ ⁻ ¹ Existence of the additive inverse / Modulative property
a¹ · a⁻¹ Multiplication of powers of equal base
a¹ · (a¹)⁻¹ Power of a power / (- a) · b = - a · b
1 Existence of multiplicative inverse / Modulative property / Result
By definition of power, we find that a¹ as a is only only time.
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The equation which represent number of days is 87 ÷ n = 3
<h3>What is Division?</h3>
It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.
Here,
total hour practicing = 87 hours
Daily hours for practicing = 3 hours
total number of days = n days
Now, according to question;
n X 3 = 87
87 ÷ n = 3
Thus, the equation which represent number of days is 87 ÷ n = 3.
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Answer:
f^-1(x)=3x
Step-by-step explanation:
y=x/3
to get the inverse function, exchange x and y,
x=y/3
solve for y, y=3x
f^-1(x)=3x
Answer:
the answer is c because
Step-by-step explanation: