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8.3 simplify rational exponents (homework) score: 2.25/25 answered: 3/2…

Question

8.3 simplify rational exponents (homework)
score: 2.25/25 answered: 3/25
question 4
be sure to enclose all of the exponent when entering exponential expressions.
enter 3^(y/5) as 3^(y/5):
enter 5^(3y) as 5^(3 y):
enter (3/5)^(y/2):
enter (3/(5 + y))^(y/2):

Explanation:

Step1: Rewrite first expression

The first expression $3^{\frac{y}{5}}$ is written as $3^{\wedge}(y/5)$ according to the given format.

Step2: Rewrite second expression

The second expression $5^{3y}$ is written as $5^{\wedge}(3y)$ according to the given format.

Step3: Rewrite third expression

The third expression $(\frac{3}{5})^{\frac{y}{2}}$ is written as $(3/5)^{\wedge}(y/2)$.

Step4: Rewrite fourth expression

The fourth expression $(\frac{3}{5 + y})^{\frac{y}{2}}$ is written as $(3/(5 + y))^{\wedge}(y/2)$.

Answer:

$3^{\wedge}(y/5)$
$5^{\wedge}(3y)$
$(3/5)^{\wedge}(y/2)$
$(3/(5 + y))^{\wedge}(y/2)$