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3 years ago

Simplify [view attached image]

Mathematics

1 answer:

pav-90 [236]3 years ago

6 0

<u>Given</u>:

The given expression is $(\sqrt{5})( \sqrt[3]{5})$

We need to simplify the given expression.

<u>Simplification</u>:

Let us simplify the given expression.

Rewriting the given expression, we have;

$5^{\frac{1}{2}} \cdot 5^{\frac{1}{3}}$

Let us apply the exponent rule $\:a^b\cdot \:a^c=a^{b+c}$ , we get;

$5^{\frac{1}{2}+\frac{1}{3}}$

Taking LCM, we have;

$5^{\frac{3+2}{6}}$

Simplifying, we get;

$5^{\frac{5}{6}}$

Thus, the simplified value of the given expression is $5^{\frac{5}{6}}$

Hence, Option a is the correct answer.

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Will offer 50 points. Please answer.

Eva8 [605]

Answer:

$343\\$

Step-by-step explanation:

$\mathrm{Subtract\:the\:numbers:}\:14-7=7\\\\=\frac{7^9}{\left(\left(3+4\right)^2\right)^3}\\\\=\frac{7^9}{\left(7^2\right)^3}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{7^9}{7^6}=7^{9-6}\\\\=343$

6 0

3 years ago

Read 2 more answers

Find the midpoint of the line segment whose endpoints are (-2, 5) and (6, -9).

Katen [24]

We know that when $A=(x_A,y_A)$ and $B=(x_B,y_B)$ the midpoint of the line segment AB is given by:

$M=\left(\dfrac{x_A+x_B}{2},\dfrac{y_A+y_B}{2}\right)$

Here $A=(-2,5)$ and $B=(6,-9)$ so:

$M=\left(\dfrac{x_A+x_B}{2},\dfrac{y_A+y_B}{2}\right)=\left(\dfrac{-2+6}{2},\dfrac{5+(-9)}{2}\right)=\\\\\\=\left(\dfrac{4}{2},\dfrac{5-9}{2}\right)=\left(2,\dfrac{-4}{2}\right)=\boxed{\left(2,-2\right)}$

8 0

3 years ago

In circle K , diameter CD is drawn and point E is located on the circle such that CE=16 and DE=30 .What is the length of the rad

egoroff_w [7]

Answer:

The length of the radius of the circle K is $17\ units$

Step-by-step explanation:

we know that

The triangle CDE is a right triangle with the 90 degree angle at point E

Applying the Pythagoras Theorem

Find the length of CD (diameter of the circle K)

$CD^{2}=CE^{2}+DE^{2}$

substitute the values

$CD^{2}=16^{2}+30^{2}$

$CD^{2}=1,156$

$CD=34\ units$

Find the radius

Remember that the radius is half the diameter

$r=34/2=17\ units$

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3 years ago

Please help me out! i have a few more of these questions, abou

lara31 [8.8K]

y= $\frac{4}{3}$ X - 7

I was wrong earlier thank u for correcting me

6 0

3 years ago

Read 2 more answers

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.

lesya [120]

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$\blue\textsf{\textbf{\underline{\underline{Question:-}}}}$

What is the ratio in simplest form? 24 mi to 40 mi

$\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}}$

In the ratio 24 to 40 (24:40), 24 is the numerator:-

$\dfrac{24}{}$

40 is the denominator:-

$\displaystyle\frac{24}{40}$

Now we need to simplify this fraction.

Divide the numerator and denominator by 4:-

$\displaystyle\frac{6}{10}$

Since the fraction is still not in its simplest form, we need to continue simplifying, but 6 and 10 aren't divisible by 4. They're divisible by 2, so we divide by 2:-

$\displaystyle\frac{3}{5}$

Now just write ":" instead of the fraction bar:-

3:5

That's the ratio in its simplest form.

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6 0

3 years ago