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3 years ago

Simplify. Assume that letters represent any real number.

Mathematics

2 answers:

TiliK225 [7]3 years ago

7 0

$\sqrt[5]{x^5}=x\\\\32^\frac{3}{5}=\left(32^\frac{1}{5}\right)^3=\left(\sqrt[5]{32}\right)^3=2^3=8$

rewona [7]3 years ago

7 0

32^(3/5) = (2^5)^(3/5) = 2^(15/5) = 2^3 = 8.

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The probability that the red balls can be drawn before the green ball is drawn is 3/8.

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1 year ago

Read 2 more answers

Consider function f.

tekilochka [14]

Given:

The function is:

$f(x)=\sqrt{7x-21}$

To find:

The steps of finding the inverse function $f^{-1}(x)$ .

Solution:

We have,

$f(x)=\sqrt{7x-21}$

The steps of finding the inverse function are:

Step 1: Substitute $f(x)=y$ .

$y=\sqrt{7x-21}$

Step 2: Interchange x and y.

$x=\sqrt{7y-21}$

Step 3: Taking square on both sides, we get

$x^2=7y-21$

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Step 5: Divide both sides by 7.

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Step 6: Substitute $y=f^{-1}(x)$ .

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Therefore, the inverse of the given function is $f^{-1}(x)=\dfrac{1}{7}x^2+3$ and the arrangement of steps is shown above.

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2 years ago