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k0ka [10]
3 years ago
15

Solve using fractional law exponent rule

Mathematics
1 answer:
steposvetlana [31]3 years ago
3 0

Answer:

We conclude that:

\sqrt[5]{8^3}=8^{\frac{3}{5}}

Step-by-step explanation:

Given

We are given the expression

\sqrt[5]{8^3}

To determine

Solve using fractional law exponent rule

Given the expression

\sqrt[5]{8^3}

Apply radical rule:  \sqrt[n]{a}=a^{\frac{1}{n}}

\sqrt[5]{8^3}=\left(8^3\right)^{\frac{1}{5}}

Apply exponent rule:  \left(a^b\right)^c=a^{bc}

       =8^{3\cdot \frac{1}{5}}

Multiply the exponent:  3 × 1/5 = 3/5

     =8^{\frac{3}{5}}

Therefore, we conclude that:

\sqrt[5]{8^3}=8^{\frac{3}{5}}

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the ratio of the heights of two similar triangles is 6:5 if the perimeter of the larger triangle is 49.2 feet. find the perimite
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Answer:

41 feet

Step-by-step explanation:

We apply the theorem below:

If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.

Let x be the perimeter of the smaller triangle

If the ratio of their heights is 6:5 and the perimeter of the larger triangle is 49.2 feet,

6:5=49.2:x

6/5=49.2/x

Cross multiplying

6x=49.2 X 5

6x=246

x=246/6=41

The perimeter of the smaller triangle is 41 feet

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Step-by-step explanation:

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Find the solution of y = 2x + 5 for x = 1
ArbitrLikvidat [17]

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If any number can be used as an input value, what is the domain of the function? Why?
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