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3 years ago

Rewrite the rational exponent as a radical.

Mathematics

1 answer:

jeyben [28]3 years ago

5 0

Rule of exponents: (5^a)^b = 5^(ab)

Thus, 3
---
4
5 to the power 2/3 is

6/12 1/2
5 = 5 = √5

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Please help with hair question- it’s in the photo

Levart [38]

Salutations!

Growth meters per second = 4.8 × $10^{-9}$

First, you need to convert standard form into a normal number.

4.8 × $10^{-9}$ = 4.800000000

a) In one day there are 24 hours, therefore you will multiplying 4.800000000 and 24

4.800000000 × 24 = 115.2 = 115.2 × $10^{-9}$ (standard form)

b) 365 days in a year, so multiply 4.800000000 and 365

4.800000000 × 365 = 1752 = 1.7 × $10^{3}$ (standard form)

Hope I helped (:

have a great day!

3 0

3 years ago

Divide. State any restrictions on the variables.<br> 35y/18z÷7y/36x

cricket20 [7]

Answer:

5/648 xy2z

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

Y=x.arctan(x)^1/2. find dy/dx. pls show steps

Whitepunk [10]

$y=x(\arctan x)^{1/2}$

Use the product rule first:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dx}{\mathrm dx}(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

Use the chain rule to compute the derivative of $(\arctan x)^{1/2}$ . Let $z=(\arctan x)^{1/2}$ and take $u=\arctan x$ , so that by the chain rule

$\dfrac{\mathrm dz}{\mathrm dx}=\dfrac{\mathrm dz}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

$\dfrac{\mathrm dz}{\mathrm du}=\dfrac{\mathrm du^{1/2}}{\mathrm du}=\dfrac12u^{-1/2}$

$\dfrac{\mathrm du}{\mathrm dx}=\dfrac{\mathrm d\arctan x}{\mathrm dx}=\dfrac1{1+x^2}$

$\implies\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}(1+x^2)}$

So we have

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+\dfrac x{2(\arctan x)^{1/2}(1+x^2)}$

You can rewrite this a bit by factoring $(\arctan x)^{-1/2}$ , just to make it look neater:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}}\left(2\arctan x+\dfrac x{1+x^2}\right)$

3 0

3 years ago

Which division problem is represented with this model?

sp2606 [1]

D 1/6 % 2 is the correct answer

6 0

3 years ago

Read 2 more answers

What is the value of this -3 2/3 ÷ 1/3

mihalych1998 [28]

Answer:

-11

Step-by-step explanation:

Convert -3 2/3 to -11/3

-11/3÷1/3

Dividing by 1/3 is the same as multipling by 3

so the equation becomes

(-11/3)(3)

=-11

8 0

4 years ago

Read 2 more answers