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Anahartie

Anahartie

26.06.2019 •

Mathematics

Drag values to complete each equation.

Drag values to complete each equation.

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Ответ:

javier1026

10.03.2022

1) The value of $\frac{(8^3)^48^{-9}}{8^3}$ is 1.

2) The value of $\frac{8^38^{4}}{(8^2)^4}$ is $8^{(-1)}$ .

Step-by-step explanation:

Given Expressions,

1) $\frac{(8^3)^48^{-9}}{8^3}$ then

Using property of exponents $(a^x)^y=a^{xy}$

$\frac{(8)^{12}8^{-9}}{8^3}$

Using property of exponents $a^xa^y=a^{x+y}$

$\frac{(8)^{12-9}}{8^3}$

$\Rightarrow \frac{(8)^{3}}{8^3}$

Using property of exponents $\frac{a^x}{a^y}=a^{x-y}$ and a^0=1

$8^{(3-3)}=8^0=1$

Thus, The value of $\frac{(8^3)^48^{-9}}{8^3}$ is 1.

$\frac{(8^3)^48^{-9}}{8^3}$

2) $\frac{8^38^{4}}{(8^2)^4}$

Now applying property of exponents $(a^x)^y=a^{xy}$ in denominator,

$\frac{8^{3}8^{4}}{8^8}$

Using property of exponents $a^xa^y=a^{x+y}$

$\frac{8^{3+4}}{8^8}$

$\Rightarrow \frac{8^{7}}{8^8}$

Using property of exponents $\frac{a^x}{a^y}=a^{x-y}$

$8^{(7-8)}=8^{(-1)}$

Thus, the value of $\frac{8^38^{4}}{(8^2)^4}$ is $8^{(-1)}$

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Ответ:

Imelda593

13.04.2022

Carbon dioxide and Oxygen are the two gases of air which dissolves in water by diffusion The oxygen is dissolved in water so that fishes can take in oxygen through water to breathe, this is the biological importance of this process in nature. ... Fizzy drinks contain carbon dioxide dissolved in water.

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