Zero and negative exponentswrite in simplest for without zero or negative exponents- 17 ⁰

1 answer:

4 0

$-17^0=(-17)^0=1$ $\begin{gathered} (-2)^2\times(-2)^{-5}=(-2)^{2-5} \\ =(-2)^{-3} \\ =\frac{1}{(-2)^3} \\ =\frac{1}{-8} \end{gathered}$

Thus, the final answers are 1 and -1/8.

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Volgvan

$\iint_{R} y^{2} d A=\int_{x=-2}^{3} \int_{y=-x-2}^{3 x+6} y^{2} d x d y d x$

$\text { (taking Strip as shown). }$

$=\int_{-2}^{3}\left(\frac{y^{3}}{3}\right)_{-x-2}^{3 x+6} d x$

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$\begin{gathered}=\frac{1}{3}[4375]=\frac{4375}{3} \\=1458.33\end{gathered}$

What is integral ?

Calculating an integral is called integration.
Mathematicians utilize integrals to determine a variety of useful quantities, including areas, volumes, displacement, etc.
When we discuss integrals, we often refer to definite integrals.
For antiderivatives, indefinite integrals are utilized.
Apart with differentiation, integration is one of the two main calculus subjects in mathematics (which measure the rate of change of any function with respect to its variables).
It's a broad subject that is covered in courses at the higher grade levels, such classes 11 and 12.
Broadly speaking, integration by parts and via substitution is explained.
You will discover the definition of integrals in mathematics, the integration formulae, and examples here.

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