Ask question

Ask question

All categories

3 years ago

11

Simplify- (7^1/5)^5 A- 7^10 B- 7 C- 7^5 D- 1/7

1 answer:

fiasKO [112]3 years ago

4 0

$\boxed{\underline{\bf \: ANSWER}}$

$\sf( 7 ^ { 1 / 5 } ) ^ { 5 } \\$

Use the rules of exponents to simplify the expression.

$\sf\left(\sqrt[5]{7}\right)^{5}$

To raise a power to another power, multiply the exponents.

$\sf \: 7^{\frac{1}{5}\times 5} \\$

Multiply $\sf\frac{1}{5}$ times 5.

$\sf7^{1}$

Raise 7 to the power 1.

$= \boxed{ \bf7 }$

The correct answer is <u>Option </u><u>B.</u><u> </u><u>7</u><u>.</u>

_______

Hope it helps.

гคเภ๒๏ฬรคlt2222

You might be interested in

70 minutes for 24 songs<br> =<br> [blank] minutes for 12 songs

s2008m [1.1K]

Answer:

35

Step-by-step explanation:

70 minutes for 24 songs

70/2 minutes for 24/2 songs

35 minutes for 12 songs.

4 0

3 years ago

Read 2 more answers

Deandre knit a scarf for each of his 8 friends. Each scarf was 57.6in

madreJ [45]

Multiply 57.6 x 8 = 460. 8 and since you have to convert it to feet you divide by 12 which gets you 38.4 feet

7 0

3 years ago

Solve x−1=8 Math Problem

Rashid [163]

Answer:

x = 9

Step-by-step explanation:

9 - 1 = 8

3 0

3 years ago

Read 2 more answers

A 15-ft ladder leans against a wall. The lower end of the ladder is being pulled away from the wall at the rate of 1.5 ft/sec. L

Aleks [24]

Answer:

The top of the ladder is sliding down at a rate of 2 feet per second.

Step-by-step explanation:

Refer the image for the diagram. Consider $\Delta ABC$ as right angle triangle. Values of length of one side and hypotenuse is given. Value of another side is not known. So applying Pythagoras theorem,

$\left ( AB \right )^{2}+\left ( BC \right )^{2}=\left ( AC \right )^{2}$

From the given data, $L=15\:ft=AC$ , $y=9\:ft=AB$ and $x=BC$

Substituting the values,

$\therefore \left ( 9 \right )^{2}+\left ( x \right )^{2}=\left ( 15 \right )^{2}$

$\therefore 81+x^{2}=225$

$\therefore x^{2}=225-81$

$\therefore x^{2}=144$

$\therefore \sqrt{x^{2}}=\sqrt{144}$

$\therefore x=\pm 12$

Since length can never be negative, so $x= 12$ .

Now to calculate $\dfrac{dy}{dt}$ again consider following equation,

$\left ( y \right )^{2}+\left ( x \right )^{2}=\left ( l \right )^{2}$

Differentiate both sides of the equation with respect to t,

$\dfrac{d}{dt}\left(y^2+x^2\right)=\dfrac{d}{dt}\left(l^2\right)$

Applying sum rule of derivative,

$\dfrac{d}{dt}\left(y^2\right)+\dfrac{d}{dt}\left(x^2\right)=\dfrac{d}{dt}\left(l^2\right)$

$\dfrac{d}{dt}\left(y^2\right)+\dfrac{d}{dt}\left(x^2\right)=\dfrac{d}{dt}\left(225\right)$

Applying power rule of derivative,

$2y\dfrac{dy}{dt}+2x\dfrac{dx}{dt}=0$

Simplifying,

$y\dfrac{dy}{dt}+x\dfrac{dx}{dt}=0$

Substituting the values,

$9\dfrac{dy}{dt}+12\times1.5=0$

$9\dfrac{dy}{dt}+18=0$

Subtracting both sides by 18,

$9\dfrac{dy}{dt}=-18$

Dividing both sides by 9,

$\dfrac{dy}{dt}= - 2$

Here, negative indicates that the ladder is sliding in downward direction.

$\therefore \dfrac{dy}{dt}= 2\:\dfrac{ft}{sec}$

7 0

3 years ago

Which equation best represents a trend line for the scatter plot?

butalik [34]

Y=-x+60 which draws a line directly from 60 on the y axis to 60 on the x axis, and crossing through the center of your scatter

8 0

3 years ago

Read 2 more answers