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1 year ago

10

I need help, please and thank you

1 answer:

borishaifa [10]1 year ago

5 0

Answer:

See below ↓

Step-by-step explanation:

<u>Problem</u>

<u /> $\frac{5x}{x+7} + \frac{7}{x}$

<u>Work</u>

<u /> $\frac{5x(x)+7(x+7)}{x(x+7)}$
$\frac{5x^{2} +7x+49}{x(x+7)}$
The student's mistake was that instead of taking x(x + 7) as the LCM (Least Common Multiple), he took x + 7, which is not possible in this case

<u>Solution</u>

<u /> $\frac{5x^{2} +7x+49}{x(x+7)}$

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Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.

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Answer:

(A) $e^2$

(b) $e^{-3}$

(c) $e^2$

(d) $e^3$

Step-by-step explanation:

We have given expression and we have to simplify the expression using exponent property

(A) $(\frac{1}{e})^{-2}$

So $(\frac{1}{e})^{-2}=\frac{1}{e^{-2}}=e^2$

(b) $(\frac{e^5}{e^2})^{-1}$

So $(\frac{e^5}{e^2})^{-1}=(e^{3})^{-1}=e^{-3}$

(c) $\frac{e^5}{e^3}$

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(d) $\frac{1}{e^{-3}}=e^3$

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2 years ago

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2 years ago

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Veseljchak [2.6K]

Answer:

x=2

Step-by-step explanation:

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In order to find which <u>expression</u> is <u>equivalent</u> to $\sqrt[4]{x^{10}},$ <u>simplify</u> all given expressions:

0.

$\sqrt[4]{x^{10}}=x^{\frac{10}{4}}=x^{\frac{5}{2}}=x^{2.5}.$

1.

$x^2(\sqrt[4]{x^2})=x^2\cdot x^{\frac{2}{4}}=x^2\cdot x^{\frac{1}{2}}=x^2\cdot x^{0.5}=x^{2.5}.$

2.

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3.

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4.

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