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tia_tia [17]
2 years ago
5

Simplify (x^3/8)^3/4

Mathematics
2 answers:
Viktor [21]2 years ago
4 0

When an exponent is raised to another exponent, you can multiply the powers to simplify them.

3/8*3/4

<em>*Multiply numerators*</em>

3*3=9

<em>*Multiply denominators*</em>

8*4=32

x^9/32

Hope this helps!!

Nuetrik [128]2 years ago
3 0

For this case we must simplify the following expression:

(x ^ {\frac {3} {8}}) ^ {\frac {3} {4}}

By definition of power properties we have to:

(a ^ m) ^ n = a ^ {m * n}

So, rewriting the expression we have:

(x ^ {\frac {3} {8}}) ^ {\frac {3} {4}} = x ^ {\frac {9} {32}}

ANswer:

x ^ {\frac {9} {32}}

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Cherie is jogging around a circular track. She
skelet666 [1.2K]

Answer:

Measure of minor angle JOG is 95.5^{\circ}

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.  

\therefore m JG = 200 yards, JO=120 yards.  

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle \angle JOG = \theta.

To calculate the central angle, use the arc length formula as follows.  

Arc\:Length\left(s\right) = r\:\theta  

Where \theta is measured in radian.

Substituting the value,

200=120\:\theta  

Dividing both side by 120,

\dfrac{200}{120}=\theta  

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

\therefore \dfrac{5}{3}=\theta  

Therefore value of central angle is \angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}, since angle is in radian

Now convert radian into degree by using following formula,

1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}

So multiplying \theta with \left(\dfrac{180}{\pi}\right)^{\circ} to convert it into degree.

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\therefore \theta = 95.49^{circ}

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