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Slav-nsk [51]
3 years ago
9

Which of the following is the rational exponent expression of sixth root of f?

Mathematics
1 answer:
vitfil [10]3 years ago
5 0

Answer:

\sqrt[6]{f} = f^{1/6}

Step-by-step explanation:

the law in its form is \sqrt[n]{a}^{m} = a^{m/n}

therefore \sqrt[6]{f} = fx^{1/6} \\

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Which expressions are equivalent to \dfrac{2^5}{6^5}
DerKrebs [107]

We have been given an expression \frac{2^5}{6^5}. We are asked to choose the expressions, which are equivalent to our given expression.

Using exponent property \frac{1}{a^n}=a^{-n}, we can rewrite our given expression as:

\frac{2^5}{6^5}=2^5\cdot 6^{-5}

Upon looking at our given choices, we can see that option D is the correct choice.

Let us simplify our given expression.

\frac{2^5}{6^5}=\frac{2^5}{(2\cdot 3)^5}

\frac{2^5}{6^5}=\frac{2^5}{2^5\cdot 3^5}

Upon cancelling out 2^5 from numerator and denominator, we will get:

\frac{2^5}{6^5}=\frac{1}{3^5}

Using exponent property \frac{1}{a^n}=a^{-n}, we will get:

\frac{1}{3^5}=3^{-5}

Therefore, option B is a correct choice as well.

3 0
4 years ago
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natta225 [31]

Answer:

D but I'm not 100 percent sure

Step-by-step explanation:

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7 0
3 years ago
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Today only, a suit is being sold at a 34% discount. The sale price is $429 . What was the price yesterday?
FinnZ [79.3K]
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A soup can has a diameter of 4 inches and the height of the can is 7 inches. Desiree needs to design a label for the soup can. A
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Answer:

87.96 square inches

Step-by-step explanation:

The soup can is a cylinder, and we can find how many square inches the label will take up by finding the lateral surface area

Use the formula, LA = 2\pirh

The diameter is 4 inches, so the radius is 2 inches

Plug in the radius and height into the formula, and solve:

LA = 2\pirh

LA = 2\pi(2)(7)

LA = 28\pi

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So, the label will take up approximately 87.96 square inches

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