Which of the following is equal to 1/2 or -1/2? Check all that apply. Sin (7π/6)
Sin (4π/3)
Cos (5π/3)
Cos (π/6)
Cos (5π/6)
Sin (5π/6)

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Ответ:

tumadreeve7852

27.04.2021

Mathematics

$x^{\frac{20}{3}}$ .

Step-by-step explanation:

We are asked to describe how we can transform the given radical expression into an expression with a rational exponent.

Given expression: $(\sqrt[3]{x^4})^5$ .

We will use radical rule $\sqrt[n]{a^m}=a^{\frac{m}{n}}$ to solve our given problem.

We can see that for our given expression n=3 , m=4 and a=x .

Now, we can write our given expression as:

$(\sqrt[3]{x^4})^5=(x^{\frac{4}{3}})^5$

Using power rule of exponents $(a^m)^n=a^{m\cdot n}$ , we can write our expression as:

$(x^{\frac{4}{3}})^5=x^{\frac{4}{3}\cdot 5}$

$(x^{\frac{4}{3}})^5=x^{\frac{4\cdot 5}{3}}$

$(x^{\frac{4}{3}})^5=x^{\frac{20}{3}}$

Therefore, the given expression with a rational exponent would be $x^{\frac{20}{3}}$ .

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Which of the following is equal to 1/2 or -1/2? Check all that apply. Sin (7π/6) Sin (4π/3) Cos (5π/3) Cos (π/6) Cos (5π/6) Sin (5π/6)