All categories

3 years ago

Which expression is equivalent to Negative 32 Superscript three-fifths?

Mathematics

2 answers:

Sidana [21]3 years ago

8 0

Answer:

$-8$

Step-by-step explanation:

Given: $(-32)^{(\frac{3}{5}) }$

To choose: the correct option

Solution:

Power refers to a number of times, a number is multiplied by itself. Another name for power is exponent.

As per rule of exponents, $(a^m)^n=a^{mn}$

Here,

$(-32)=(-2)^5$

Therefore,

$(-32)^{(\frac{3}{5}) }=[(-2)^5]^{(\frac{3}{5}) }=(-2)^{5(\frac{3}{5}) }$

Here, $a=-2,m=5,n=\frac{3}{5}$

So,

$(-32)^{(\frac{3}{5}) }=[(-2)^5]^{(\frac{3}{5}) }=(-2)^{5(\frac{3}{5}) }=(-2)^3=-8$

zvonat [6]3 years ago

4 0

Answer:

-8

Step-by-step explanation:

i took the test

You might be interested in

Convert 2% to a decimal

Licemer1 [7]

Answer:

0.02

Step-by-step explanation:

is written as an decimal make me brainliest : )

4 0

2 years ago

Sophia currently has an account balance of $1,347.11. her initial deposit on the account was $843 and earns 2.3% simple interest

sweet-ann [11.9K]

Answer:

69 years

Step-by-step explanation:

Trust me 69

3 0

3 years ago

Find the slope of (-2,1),(-2,2)

Natalija [7]

Answer:

there is no slope its undefined

Step-by-step explanation:

4 0

2 years ago

The radius of a cone is decreasing at a constant rate of 7 inches per second, and the volume is decreasing at a rate of 948 cubi

inessss [21]

Answer:

The height of cone is decreasing at a rate of 0.085131 inch per second.

Step-by-step explanation:

We are given the following information in the question:

The radius of a cone is decreasing at a constant rate.

$\displaystyle\frac{dr}{dt} = -7\text{ inch per second}$

The volume is decreasing at a constant rate.

$\displaystyle\frac{dV}{dt} = -948\text{ cubic inch per second}$

Instant radius = 99 inch

Instant Volume = 525 cubic inches

We have to find the rate of change of height with respect to time.

Volume of cone =

$V = \displaystyle\frac{1}{3}\pi r^2 h$

Instant volume =

$525 = \displaystyle\frac{1}{3}\pi r^2h = \frac{1}{3}\pi (99)^2h\\\\\text{Instant heigth} = h = \frac{525\times 3}{\pi(99)^2}$

Differentiating with respect to t,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)$

Putting all the values, we get,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)\\\\-948 = \frac{1}{3}\pi\bigg(2(99)(-7)(\frac{525\times 3}{\pi(99)^2}) + (99)(99)\frac{dh}{dt}\bigg)\\\\\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi} = (99)^2\frac{dh}{dt}\\\\\frac{1}{(99)^2}\bigg(\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi}\bigg) = \frac{dh}{dt}\\\\\frac{dh}{dt} = -0.085131$

Thus, the height of cone is decreasing at a rate of 0.085131 inch per second.

3 0

2 years ago

Pls help!!!!!!!!!!!!!!!!

Zolol [24]

Answer:

23 degrees

Step-by-step explanation:

62+95=157

180-157=23

7 0

2 years ago

Read 2 more answers